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{ = }(1)/(3)\log (2x) \\ 3y\text{ = log(2x)} \end{gathered}`

It can be rewritten into exponential form, as follows:

`10^(3y)=2x`