Answer
(a)
$2x=\log_{6}25$
or:
$x=\frac{1}{2}\log_{6}25$
(b)
$A=e^{3}$
Work Step by Step
(a)
We are given:
$6^{2x}=25$
This means:
$2x=\log_{6}25$
or:
$x=\frac{1}{2}\log_{6}25$
(b)
$\ln A=3$
We use $e$ to cancel $\ln$:
$e^{\ln A}=e^{3}$
$A=e^{3}$
