Question

Given y = 1/3 * log (2x) which of the following represents the logarithmic equation rewritten into exponential form?

Answer 1

A logarithmic equation can be rewritted as an exponential, as follows:

$\log _ab\text{ = c }\Rightarrow\text{ }a^c=\text{ b}$

Given the equation:

$\begin{gathered} y\text{ = }\frac{1}{3}\log (2x) \\ 3y\text{ = log(2x)} \end{gathered}$

It can be rewritten into exponential form, as follows:

$10^{3y}=2x$