Question

Convert from exponential to logarithmic form:

${10}^3=1000$.

Short answer

The logarithmic form is,

$3={\log }_{10}\left(1000\right)$.

Step-by-step solution

Step 1. Given the information.

The exponential form is,

${10}^3=1000$.

Step 2. Converting to logarithmic function.

$$\begin{gathered} {10}^3=1000 \\ y={\log }_a\left(x\right) \\ 3={\log }_{10}\left(1000\right) \end{gathered}$$

If ${10}^3=1000$,

then$3={\log }_{10}\left(1000\right)$.