Solve the problem.
-If $\mathrm { f } ( \mathrm { x } ) = 5 ^ { \mathrm { x } }$, find $\mathrm { f } \left( \log _ { 5 } 8 \right)$.
A) 8
B) 5
C) 40
D) $\log _ { 8 } x$

Question

Quizplus · Accepted Answer

By substituting $\log_5 8$ into the function $f(x) = 5^x$, we get $f(\log_5 8) = 5^{\log_5 8}$. The base of the logarithm and the base of the exponent are the same (5), so they cancel each other out, leaving the argument of the logarithm, which is 8.

Solve the Problem f(x)=5x\mathrm { f } ( \mathrm { x } ) = 5 ^ { \mathrm { x } }f(x)=5x

Solve the Problem $\mathrm { f } ( \mathrm { x } ) = 5 ^ { \mathrm { x } }$