Question

For any postive number b not equal to 1 and any number or variable n evaluate the following expression: b^logb n =?
"b raised to the power log(base b) of n"

A. log b
B. n
C. b
D. log n

Answer 1

the base of the exponent and the base of the log are the same, so they cancel.

Answer 2

So would that be log n?

Answer 3

Hint1: what do you get when you compose a function with it's inverse?

Hint2: The inverse of \(f(x) = \log_b(x)\) is \(f^{-1}(x)=b^x\)