Answer
(a) 4.5
(b) -4
Work Step by Step
(a) Since, $e^{lnx}=x$
Thus,
$e^{ln4.5}=4.5$
(b) Use logarithmic base formulas $\log_{b}x=\frac{log x}{log b}$
$\log_{10}0.0001=\frac{log (0.0001)}{log 10}=\frac{log`10^{-4}}{log10}$
Hence, $\log_{10}0.0001=-4$
