Respuesta :
The logarithmic equation that has the same solution as x-4=2^3 is log2(x-4)=3.
Logarithm
The logarithm of a number can be calculated from the following relationship:
[tex]log_{x}a = b[/tex]
[tex]x ^{b} = a[/tex]
Thus, the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.
So, we have that the third expression is equal to:
[tex]log_{2}(x-4)=3[/tex]
[tex]2 ^{3} = (x-4)[/tex]
Therefore, this expression is the one corresponding to x-4=2^3.
Learn more about logarithm in: brainly.com/question/7302008