Question

Which exponential equation is equivalent to the logarithmic equation below?

log 478= a

A.10^a=478
B.478^10=a
C.478^a=10
D.a^10=478

Answer 1

\(\large\color{black}{ \displaystyle \log(478)=a }\) (so the presumed base is 10)

is this correct?

Answer 2

\(\LARGE\color{black}{ \displaystyle \log_{ \color{green}{\rm a}}\color{blue}{\rm b}=\color{red}{\rm c} ~~~~\Longrightarrow~~~~\color{green}{\rm a}^{\color{red}{\rm c}}=\color{blue}{\rm b}}\)

Answer 3

\(\LARGE\color{black}{ \displaystyle \log_{ \color{green}{\rm 10}}\color{blue}{\rm 478}=\color{red}{\rm a} ~~~~\Longrightarrow~~~~?}\)