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

`log_(3)(x-4)= 3log_(3)(2)`

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)`