All categories

3 years ago

Log3+logx=5/2find x

Mathematics

1 answer:

Naya [18.7K]3 years ago

3 0

Answer:

x = 105.4

Step-by-step explanation:

We are given;

Log 3 + log x = 5/2

We are required to find x;

We are going to use the laws of logarithms to solve for x

That is;

log a + lob b = log(ab)

Therefore;

Log 3 + log x = 5/2

we get;

log 3x = 2.5

But;

Given, logₐb= x , then b = a^x

In this case;

log 3x = 2.5

we get , 3x = 10^2.5

That is , 3 x = 316.227

x = 105.4

Thus, the value of x is 105.4

You might be interested in

Marilyn eight 320 pounds of vegetables last year how many ounces did she eat per month round to the nearest 10th

fenix001 [56]

Good god thats alot of vegtables

so how many months are there in the year?

4 0

3 years ago

Chia is planning a sailing party for her friends the boat rental is $150 plus an additional $15 per person see it has saved up $

storchak [24]

150 + 15x = 400
(-150) 150 + 15x = 400 (-150)
15x = 250
(/15) 15x = 250 (/15)
x = 16.67
So Chia can invite 16 people

3 0

3 years ago

Read 2 more answers

Simplify the following without using a calculator<br>a)<br>- 4 x (8-(-3)) + 7

bulgar [2K]

-4(8-(-3))+7

Remove the parentheses, negative with negative will equal a positive so the new equation will be -4(8+3)+7. So 8+3=11, -4(11)+7. -4(11)=-44 and then add -44+7 which will equal -37

3 0

3 years ago

PLEASE ANSWER FAST AS POSSIBLE I HAVE 40 LESSONS DUE BY 12 PM :(

Sophie [7]

Try B, hope that helps :)

5 0

3 years ago

Read 2 more answers

Saira is using the formula for the area of a circle to determine the value of LaTeX: \piπ. She is using the expression LaTeX: Ar

lord [1]

Given:

Area of a circle, A=50.265 sq. units.

Radius of circle, r = 4 units.

To find:

The value of π to the nearest thousandth.

Solution:

Formula for area of a circle is

$A=\pi r^2$

$\dfrac{A}{r^2}=\pi$

$Ar^{-2}=\pi$

Now, using $Ar^{-2}$ expression, we can find the value of π.

$\pi=50.265904(4)^{-2}$

$\pi=\dfrac{50.265904}{4^2}$

$\pi=\dfrac{50.265904}{16}$

$\pi=3.141619$

Approximate the value to the nearest thousandth (three digits after decimal).

$\pi\approx 3.142$

Therefore, the approximated value of π is 3.142.

8 0

3 years ago

Log3+logx=5/2find x​

Log3+logx=5/2find x