Question

convert the following into an exponential equation:
log(81)^3-1/4
a. 3^81=1/4
b. 81^4=3
c. 3^1/4=81
d. 81^1/4=3
e. none

Answer 1

\[\Large \log_{81}(3)=\frac{1}{4}\]


\[\Large 81^{\frac{1}{4}}=3\]


So the answer is choice D

Answer 2

I'm using the idea that


\[\LARGE \log_{b}(x)=y\]


can be written as


\[\LARGE b^y=x\]