Question

Convert the equation from logarithmic equation to exponential form:

$3={\log }_7\left(343\right)$

Short answer

On converting the equation we get,

$7^3=343$

Step-by-step solution

Step 1. Given information.

Consider the given equation,

$3={\log }_7\left(343\right)$

Compare the given equation with the standard form $y={\log }_a\left(x\right)$, we get,

$$\begin{gathered} y=3, \\ a=7, \\ x=343 \end{gathered}$$

Step 2. Convert into exponential form.

Convert logarithmic form in exponential form,

$$\begin{gathered} x=a^y \\ 343=7^3 \end{gathered}$$

Therefore, we get,

$7^3=343$