Question

Which logarithmic equation has the same solution as x-4=2^3

Answer 1

Answer: The CORRECT answer is C: log2(x-4)=3

Answer 2

Answer:

$log_{3}(x-4)= 3log_{3}(2)$

Step-by-step explanation:

The given equation is:

$x-4=2^{3}$

We have to find the logarithmic equation with same solution as the given equation.

If we take the log of both sides, we can get a logarithmic equation. Since the log operation is applied to both sides the solution of the equation will stay the same.

Taking the logarithm to the base 3 of both sides, we get:

$log_{3}(x-4)= log_{3}(2)^{3}\\\\ log_{3}(x-4)= 3log_{3}(2)$