Answer
In this case, we can not apply the one-to-one property of exponential functions.
Instead, we apply log(...) to both sides, and use the
power rule, which removes the unknown from the exponent.
For example, $ 3^{x}=140\qquad $... / apply log(...) to both sides
$\log 3^{x}=\log 140\qquad $... / apply $\log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$
$ x\log 3 =\log 140\qquad $... /$\div\log 3$
This is now a linear equation. Solve:
$ x=\displaystyle \frac{\log 140}{\log 3}$
Work Step by Step
Given above.
