Exponential form of a log

Question

I'm a bit confused on the wording of this question:

An equation is shown below

x = log(20)

What is the exponential form of this equation?

So my answer is $10^x$=20. But I am not sure if that is even the right format of an exponential form or if that is the most simplified answer I can give?

Yes, it means taking $\exp$ on both sides: $\exp(x)=\exp(\log(20))$. More generally, $a^x=a^{\log(20)}$ for base $a$. — Dietrich Burde, Apr 24 '16 at 19:19
If by $x = \log 20$, you mean $x = \log_{10} 20$, your answer is correct. — N. F. Taussig, Apr 24 '16 at 19:54

score 1 · Answer 1 · answered Apr 24 '16 at 19:22

Remember that $e^{x}$ is the inverse function of $\ln(x)$, so they "undo" each other: $e^{\ln(x)}=x$ and $\ln(e^x)=x$. Therefore you can rearrange your equation by doing this:

\begin{equation} e^x = e^{\ln20} \\ \therefore e^x = 20 \end{equation}

which is the "exponential form" of the equation.

Exponential form of a log

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