Which exponential equation is equivalent to this logarithmic equation? logx 5 + logx 12 = 7

Answers

Answer 1

Answer:

x^7 = 60

Step-by-step explanation:

log(a)+log(b)=log(ab) so

logx 5 + logx 12 = logx (5*12) = logx 60

logx a = b means x^b = a so x^7 = 60

Answer 2

The logarithm equation in exponential form is x⁷ = 60

What is an Exponential Equation?

An exponential equation that can be represented in the form of abˣ.

The logarithm equation is:

logₓ 5 + logₓ 12 = 7

According to the rule of the logarithm,

log a + log b = log (ab)

logₓ ( 5 *12) = 7

logₓ ( 60) =7

According to the property of logarithm

logₓ ( a) = b

xᵇ = a

x⁷ = 60

To know more about Exponential Equation

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Related Questions

A farmer sells 6.3 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

1.8 if Im not mistaken

Answer:

1.8 Kilograms

Step-by-step explanation:

Since the farmer sells 6.3 Kilograms of fruit in total and 4.5 Kilograms of this weight is pears, you have to subtract 4.5 from 6.3.

6.3-4.5 = 1.8

So, there are 1.8 Kilograms of apples.

4. A bakery used 30% more butter this month than last month. If the bakery used 300 kilograms of
butter last month, how much did it use this month? Explain or show your reasoning.

Answers

they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer

Solve each system of equations using any method.
y = 5x +7
y = 4x - 3

Answers

x = -10 and y = -43 so the correct answer would be (-10,-43)

Answer:

x= -10

y= -43

Step-by-step explanation:

since both of your equations equals y just plug it into each other and than make the equation: 5x+7=4x-3

and than you can just start with the variables OR numbers and then simplify

5x+7=4x-3

5x+10=4x

10= -x

x= -10

so -10 for x

plug it in to one of your 2 equations to get y

5(-10)+7= y

-50+7=y

y= -43

What is the value of x in the equation 3×=1​

Answers

Answer:

x=1/3

Step-by-step explanation:

solve the equation
-2x +8 = -10

x/-5 + -15 = -22

Answers

Answer to first one is X = 9
Answer to second one is X = 35

Which represents the inverse of the function f(x) = 4x?
O h(x) = X + 4
• h(x) =X- 4
O h(x) = =x
O h(x) = ÷x


PLEASEE HELP

Answers

Answer:

f^(-1) = x/4

Step-by-step explanation:

1.  Starting with f(x) = 4x, replace 'f(x)' with y:  y = 4x

2.  Interchange x and y:  x = 4y

3.  Solve for y:  y = x/4

4.  Replace this y with 'f^(-1) = ":    f^(-1) = x/4

Tell whether a triangle can have the given angle measures. 5 2/3∘, 64 1/3∘, 87∘

Answers

sooo

5 2/3+64 1/3+87 = 157

that aint right- a triangles angles has to add up to 180

this triangle b trippin

4.0681 to the nearest thousand

Answers

4.068 is the answer to it

What is the solution to the system of equations below?

x = 5y - 2 AND 3x - 4y = 27 *

Answers

Answer:

x = 13, y = 3

Step-by-step explanation:

3(5y - 2) - 4y = 27

15y - 6 - 4y = 27

11y = 33

y = 3

x = 15 - 2

x = 13

Find the greatest common factor of 16 17 20

Answers

Answer:

1

Step-by-step explanation:

As you can see when you list out the factors of each number, 1 is the greatest number that 16, 17, and 20 divides into.

brainliet, please? hee hee

Hi Brainly users! I have an 8th grade math problem for you. 15 points plus Brainiest for the person with the most helpful answer!

Please view the screenshot of my question........

Answers

Answer:

The answer is D. 14

Step-by-step explanation:

If you were to plug in 14 for x, it would look something like this:

[tex]\frac{14-4}{14}[/tex] = [tex]\frac{5}{7}[/tex]

Solve 14-4

[tex]\frac{10\\}{14}[/tex] = [tex]\frac{5}{7}[/tex]

if you were to multiply 5 and 7 by 2, you would get

[tex]\frac{10}{14}[/tex].

This makes the equation true, because

10/14 does equal itself (10/14)

Have a nice day!

Pls help I’ll brainlest for the right answer

Answers

Answer:

29110.87

Step-by-step explanation:

mt might is 20,401.5 ft high, and tall mountain is 8709.37 ft higher than mt might, so add their those numbers together

Amy and Joey are situated on a circular track 400 feet around. Joey starts running at a rate of 10 feet per second. Amy waits for a full minute, then starts running from the same point (in the same direction) at 12 feet per second. How many seconds elapse before Amy passes Joey on the track?

Answers

Answer: 15 second

Step-by-step explanation:

Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

How many seconds elapse before Amy passes Joey on the track?

Joey starts running at v₁ = 10 m/sec  

Amy starts running at v₂ = 12 m/sec

we know that d = v [tex]*[/tex] t then t = d/v

Joey will take 400 / 10 = 40 seconds

Amy will take 400 / 12 = 33.33 seconds

To check  Joey  10 [tex]*[/tex] 40 = 400

And the Amy 12 [tex]*[/tex] 33.33 = 333.3

That means that time required for Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

Therefore, 12 seconds elapse before Amy passes Joey on the track.

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In which equation is the product greater than 3?

A. 3/4x3

B. 3/2x3

C. 1/12x3

D. 9/10x3

Answers

Answer:

B

Step-by-step explanation:

all you need to do for this is multiply the numerator by the 3.

3/4 times 3 = 9/4-  thats not more than 3

3/2 times 3 = 9/2 - thats more than 3  

1/12 times 3 = 3/12-  thats  not more than 3

9/10 times 3 = 27/10 thats  not more than 3

could you give me brainliest I need to complete this level

Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew. How many sit-ups did Matthew complete?14 sit-ups

24 sit-ups

52 sit-ups

224 sit-ups

Answers

Answer:

224 sit-ups

Step-by-step explanation:

multiply 56 by 4

What are the next three terms in the following sequence 3 6 12 24 plz help

Answers

Answer:

3 6 12 24 48 96 192

Step-by-step explanation:

The answer is 48 96 192

Answer:it equals 96 hope this helps

Step-by-step explanation:

The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 56.96. What should be done about the production line

Answers

Answer:

Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]

Step-by-step explanation:

Given that;

95% confidence interval for these parts is 56.98 to 57.05

[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )

Sample mean = 56.96

We know that;

If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.

But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.

Now since our mean sample (56.96) does not lie between with the 95% confidence interval [tex]CI_{0.95}[/tex] = ( 56.98, 57.05 ).

Therefore, Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]

What is the solution to the inequality
below?
X+3> 7
A X 4
B x 4
C3x7
PLEASE HELP !

Answers

Answer:

[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]

The solution line graph is also attached.

Step-by-step explanation:

Given

The inequality is given by

[tex]x+3>7[/tex]

To determine

What is the solution to the inequality?

Solving the given inequality

[tex]x+3>7[/tex]

Subtract 3 from both sides

[tex]x+3-3>7-3[/tex]

Simplify

[tex]x>4[/tex]

Thus,

[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]

The solution line graph is also attached.

20x=-58-2y
17x=-49-2y

Answers

Answer:

20x = -58 - 2y( Ans~ x= -29/11)

17x = -49 - 2y (Ans~ x = -49/19)

Step-by-step explanation:

(1) 20x = -58 2x

   20x + 2x = -58

   22x = -58

   x = -29/11

(2) 17x = -49 - 2x

   17x + 2x = -49

   19x = -49

   x = -49/19

U WELCOME!!

Answer:

y=1

x=-3

Step-by-step explanation:

20x=-58-2y

20x/20=(-58-2y)/20

x=(-58-2y)/20

17x=-49-2y

17x/17=(-49-2y)/17

x=(-49-2y)/17

(-58-2y)/20=(-49-2y)/17

17(-58-2y)=20(-49-2y)

-986-34y=-980-40y

add 40y to both sides

6y-986=-980

add 986 to both sides

6y=6

divide both sides by 6

y=1

substitute

20x=-58-2(1)

20x=-60

x=-3

Proof: (substituting x & y values in original equations)

20(-3)=-58-2(1)

-60=-60

17(-3)=-49-2(1)

-51=-51

there are 20 girls and 16 boys in a classroom. complete the table of ratios below. ​

Answers

Answer:

The ratio of boys to girls is [tex]\frac{16}{20}[/tex]

The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Boys to girls:

There are 16 boys and 20 girls.

So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]

Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

Girls to total students

There are 20 girls and 20 + 16 = 36 total students.

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Write 383 in expanded form

Answers

300 + 80 + 3 that’s it

Answer:

300 + 80 + 3

PLease mArk me brainliest

13.6z - 11 = -1.48.
can u please show the work for it

Answers

Step-by-step explanation:

13.6z - 11 = -1.48.

13.6z=-1.48+11

z=9.52/13.6=0.7

18 = 3 (3x - 6) help please!

Answers

Answer: 4

Step-by-step explanation:

Two of the angles are 90 degrees and 40 degrees. What is the measure of the missing angle? *


Enter only a two digit number.

Answers

it depends on what’s the full angle, if it is 180, then the missing angle is 50.

What is 264*675+1239-56+887

Answers

Answer:

180270

Step-by-step explanation:

Do Pemdas to find order of operations:

(264*675)+ 1239-56+887

So it is:

(178200)+2070

This equals: 180,270

helpsjdjdjdjcjcjfjfjfjcjfjfjxjff

Answers

Answer:

that is right what u have right there

Step-by-step explanation:

Purple paint is made by mixing red paint and blue paint in the ratio 5:2
Yan has 30 litres of red paint and 9 litres of blue paint.
What is the maximum amount of purple paint he can make?​

Answers

the maximum amount he can make is 4 liters because 2x4 is 8 and that’s the most it can go without going past 9. hope this helped!

A body of mass 2 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
B. Compute the magnitude of that force.

Answers

Answer:

a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]

[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]

b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]

Step-by-step explanation:

a) The centripetal force equation is:

[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]

[tex]\vec{F_{c}}=mR\omega^{2}[/tex]

Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:

[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]

[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]

The centripetal force is a vector in the radius direction.

b) The magnitude of that force will be:

[tex]|\vec{F_{c}}|=9.53 \: N [/tex]

1/2x -5-1/3y when x =48 and y=15

Answers

If I did this correctly, the answer is 14

What is BD? BC=x DC=x+5

Answers

Answer:

BD is just equal to the sum of BC and CD.

So we have: BD = x + x + 5

Simplifying, we have BD = 2x+5

Let me know if this helps!

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