Without using logarithm tables, find value of x in the equation:
log x³+ log5x =5log2-log⅖​

Answers

Answer 1

Answer:

[tex]x =2[/tex]

Step-by-step explanation:

Given

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Required

Find x

We have:

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Apply exponent rule

[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]

[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]

Apply product and quotient rules of logarithm

[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]

[tex]\log (5x^4) =\log(80)[/tex]

Cancel log on both sides

[tex]5x^4 = 80[/tex]

Divide by 5

[tex]x^4 = 16[/tex]

Take 4th roots of both sides

[tex]x =2[/tex]


Related Questions

I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!

Answers

Answer:

C

Step-by-step explanation:

This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.

First, we sort the list of numbers. Here is what we get:

64, 66, 67, 68, 69, 74, 75, 76, 78, 79

Here, the stems are the tens digits and the leaves are the ones digits.

Therefore, for the stem 6, the leaves are:

4, 6, 7, 8, 9

For the stem 7, the leaves are:

4, 5, 6, 8, 9

The answer, I believe, is C

5(2x-2)=8x: what is the value of x?

Answers

Answer:

5

Step-by-step explanation:

First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:

10x-10=8x

And here’s how you find x:

10x-10=8x

-10x     -10x

-10x=-2x

/-2x   /-2x

x=5

how to tell if an equation is linear without graphing

Answers

Answer:

A linear equation has the greatest x power at 1.

If you see an equation with only x (no x^2 or x^3 or stuff like that), you will know that it is linear.

Help I need help please help help

Answers

Answer: We have been given two inequalities and . We are asked to find the integers that satisfy both inequalities.

Step-by-step explanation:

Let us solve for our 1st inequality.

2x + 9 - 9 < 0 - 9

2x< -9

2x/2 < -9/2

X< -4.5

Upon combining our both inequalities, we will get:

-12 < x < -4.5

This means that solution of our inequalities is x values greater than -12 and less than -4.5

We know that integers between and are: -11, -10, -9, -8, 7, -6,-5.

Therefore, our solution would be X= {-11,-10,-9,-8,7,-6,-5}

Please help! If possible please show your work :D Thank you!

Solve.

Answers

Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms

 4.1     Pull out like factors :

   10x + 36  =   2 • (5x + 18) 

Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:

 5.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

 5.2      Solve  :    5x+18 = 0 

 Subtract  18  from both sides of the equation : 

                      5x = -18

Divide both sides of the equation by 5:

                     x = -18/5 = -3.600

ASAP HELPPPPPPPPP PLEASE!!!!

Answers

Answer:

1. y=3/5x +1

2. x = -3

3. y = 4

4. y = -1/3x + 4

5. y=5x + 4

6. y= 3/4 x + 1

7. y = 9/4x - 1/2

8. y = 5/3x

9. y = -5x +5

10. y = 2x - 5

11. y = -4x - 4

12. y = 1/4x - 4

Step-by-step explanation:

math lol

PLS help its the last question

Answers

Answer:

D

Step-by-step explanation:

ABCD is a parallelogram. What is the measure of ∠ACD?

Answers

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

will you please help me with my math thank you

Answers

Answer:$44.69

Step-by-step explanation:

Original cost = $45.87

Cost with sales = 45.87 x 0.10 since 10% is 0.10 as a decimal

New cost = (45.87) - (45.87 x 0.10)

=$41.283

Cost with tax  = 41.283 x 1.0825       <- 8.25% is 0.0825 as a decimal

= $44.69

Answer:

$44.69

Explanation

10 Percent of $45.87 is 4.587 rounded to the nearest hundredth is $4.59.

$45.87 - $4.59 is $41.28

8.25% of $41.28 is 3.4056 rounded to the nearest hundredth is $3.41.

$41.28 + $3.41 is $44.69

A rectangular garden has a length of 10.25 feet and a width of 6.2 feet. Another rectangular garden has a length of 20.5 feet and a width of 12.4 feet. How many times greater is the area of the larger garden than the area of the smaller garden?

Answers

Answer:

3

Step-by-step explanation

Maths question algebra

Answers

Step-by-step explanation:

=

38.64=9.2h/2

=

38.64=4.6h

=

h = 38.64/4.6

h = 8.4

thats it

Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens

Answers

Answer:

P = 3.86n

Step-by-step explanation:

the price will be how many sets you buy multiplied by the price.

75 is 12 more than a number k.

Answers

Answer:

So k is 75-12=63

Answer:

63

Step-by-step explanation:

subtract 75 from 12

my Christmas present to you​

Answers

thank you very much for this! :)

helppppp meee pleaseeeee !!!!! :(

Answers

Answer:

70°

Step-by-step explanation:

the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°

x is 180 - y = 180-110 = 70°

70 degrees is the answer

Evaluate the expression shown below and write your answer as a mixed number in simplest form.

Answers

Answer:

-5 13/25

Step-by-step explanation:

This is what my calculator got me

Check image for question

Answers

[tex]\dfrac{0.8\times 0.04}{0.5}\\\\\\=\dfrac{\tfrac 8{10} \times \tfrac 4{100}}{\tfrac 5{10}}\\\\\\=\dfrac{\tfrac 45 \times \tfrac 1{25}}{\tfrac 12}\\\\\\= \dfrac 4{125} \times 2\\\\\\=\dfrac 8{125}[/tex]

(0.8×0.04)/0.5(8/10×4/100)/(1/2)2(32/1000)64/10000.064

how to find a and b in the equation below.
3(a+b)=28

Answers

we have:    3(a+b)=28 => a + b = 28/3

=> a = 28/3 - b      and      b = 28/3 - a

ok done. Thank to me :>

What type of slope does the graph have!

Answers

Answer:

it either has a postive slope (when lines go uphill from left to right)

a negative slope (when lines go downhill from left to right)

a zero slope (when lines are horizontal)

or a undefined slope (when lines are vertical)

Step-by-step explanation:

hope this helps

Answer:

a negative slope of -2

Explanation:

slope = (y2-y1)/(x2-x1)

points (1,1) (0,3)

x1 = 0 y1 = 3

x2 = 1 y2 = 1

(1-3)/(1-0) = -2/1 = -2

What is the surface area? 10 mm
7 mm
4 mm

Answers

Answer:

Perhaps 270 mm^2, if it is a box.

Step-by-step explanation:

What shape is this?  A box?

If a box:

There are 6 faces:

1.   2 ends:  7mm x 4mm  = 28 mm^2/end

2.  2 sides:  10mm x 7mm  = 70 mm^2/side

3.   top and bottom:  10mm x 4 mm = 40 mm^2/each

====

Totals:

1.    56 mm^2

2.  140 mm^2

3.   80 mm^2

Total  270 mm^2

the function t(n) 8n represents the number of tires t(n) that are needed for n trucks. if t(n)=200. what is the value of n?

Answers

Step-by-step explanation:

if I understand correctly, then the function is

t(x) = 8x

now we know, that for a specific n

t(n) = 200

that means

200 = 8n

n = 200/8 = 25

the function tells us, that for 25 trucks we need 200 tires.

y+5=2/1(x-2) into standard form​

Answers

[tex](x + 1 - \frac{1}{2} \sqrt{10)} [/tex]

Please hurry and help

15 points

Answers

Answer:

A

Step-by-step explanation:

Seems like a reasonable answer choice

Which of the following is the equation in slope-intercept form for the line that passes through points (- 4, 1) and \ -3,0\; y = - x + 5; y = - x - 3; y = x + 2 None of these choices are correct

Answers

Answer:

there y= -x - 3 is correct

Step-by-step explanation:

(-4,1) ; (-3,0)

y= -x - 3

with (-4,1)

1 = -(-4) - 3 = 4 - 3 = 1. left = right

with (-3,0)

0 = -(-3) - 3 = 3 - 3 = 0. left = right

so the line y = -x - 3 is passes through points (-4,1) and (-3,0)

Calculate the value of x

Answers

Answer:

x=15

Step-by-step explanation:

360-330=30

30/2=15

x=15

hope that helps

please mark as brainliest if correct

thank you

A flying disc has a 7 3/4 inch radius. What is its approximate circumference,
rounded to the nearest inch?

Answers

Answer:

  49 in

Step-by-step explanation:

The circumference of a circle with radius r is ...

  C = 2πr

The disc with the given radius has a circumference of ...

  C = 2π(7.75 in) ≈ 49 in

Factor the expression using the GCF. (algebraic expressions, just dont subtract 18-12=6 its incorrect. please answer asap!!!! )


18 - 12 = ?

Answers

Factoring the GCF would make the answer 6… Double check with your teacher because it’s literally 6

mile is going to give buddys dads company 5 hour and not a minute more. what part of the day is he giving them written as a fraction and a percent

Answers

The fraction of the time given in a day is 1/288

Given the following parameters

The minute that mile gave his buddy = 5minuts

We are to get the fraction of this time in a day.

Convert 1 day to minute

1 day = 24 hrs * 60 mins 1 day = 1440 minuts

Fraction = 5/1440

Fraction = 1/288

Hence the fraction of the time given in a day is 1/288

Learn more on fractions here: https://brainly.com/question/78672

find the area of this shape

please

Answers

[tex] Area \:of\: rectangle = l \times b \\ = 3 \times 6 \\ = 18 {cm}^{2} [/tex][tex] Area\: of\: triangle = \frac{ab}{2} \\ = \frac{4 \times 6}{2} \\ = 12 {cm}^{2} [/tex]

Total area = 12 + 18 = 30cm²

Answer:

Area of the right angled triangle:-

= height × base ÷ 2

= 4 cm × 6 cm ÷ 2

= 4 cm × 3 cm

= 12 cm²

Area of the rectangle:-

= length × breadth

= 6 cm × 3 cm

= 18 cm²

Area of the figure:-

= 12 cm² + 18 cm²

= 30 cm²

Please help? Im stuck.

Answers

Answer:

which solution are you looking for?

Step-by-step explanation:

Solving for X would be: x<0

Graph inequality would be the left side shaded i think

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