Question

What is the solution of log2 (3x - 7) = 3?

Answer 1

x=5 (c on edge2020)

Explanation:

:)

Answer 2

`x=5`

Explanation:

We need to solve the equation for the variable x

Use the properties of logarithms.

`2 ^ {log_2(x)} = x`

Then we have that:

`2^(log2(3x - 7)) = 2^3`

So

`3x -7 = 8` add 7 to both sides

`3x -7 +7 = 8+7`

`3x = 15` divide by 3 both sides of the equation

Therefore:

`x = (15)/(3)`

Finally

`x=5`