Question

Convert from exponential to logarithmic form:

$e^x=6$.

Short answer

The logarithmic form is,

$x={\log }_e\left(6\right)$.

Step-by-step solution

Step 1. Given the information.

The exponential form is,

$e^x=6$.

Step 2. Converting to logarithmic form.

$$\begin{gathered} e^x=6 \\ y={\log }_a\left(x\right) \\ x={\log }_e\left(6\right). \end{gathered}$$

If $e^x=6$,

then$x={\log }_e\left(6\right)$.