Question

write the following logarithmic equations in exponential form.
\log_{p}(625) = 4

select one:
\bigcirc a. \\ p^{4} = 625
\bigcirc b. \\ p^{625} = 4
\bigcirc c. \\ 625^{p} = 4
\bigcirc d. \\ 4^{p} = 625

Explanation:

Step1: Recall log-exponential conversion rule

For $\log_b(a)=c$, the exponential form is $b^c=a$.

Step2: Apply rule to given equation

Here, $b=p$, $a=625$, $c=4$. Substitute into the rule.

Answer:

A. $p^4 = 625$