Change the exponential expression to an equivalent expression involving a logarithm.
-$$x ^ { \sqrt { 5 } } = \pi$$
A) $x = \log _ { \pi } \sqrt { 5 }$
B) $x = \log _ { \sqrt { 5 } } \pi$
C) $\sqrt { 5 } = \log _ { \pi } \mathrm { x }$
D) $\sqrt { 5 } = \log _ { \mathrm { X } } \pi$

Question

Quizplus · Accepted Answer

To convert the exponential expression $x^{\sqrt{5}} = \pi$ to a logarithmic form, we use the definition of logarithms: if $a^b = c$, then $b = \log_a c$. Here, $\sqrt{5} = \log_x \pi$.

Change the Exponential Expression to an Equivalent Expression Involving a Logarithm