Question

Give an example of an exponential equation and its related logarithmic equation.

Short answer

The example of an exponential equation and its related logarithmic equation is $3^x=90,x={\log }_3^{90}$.

Step-by-step solution

Step 1. Given Information.

An example of an exponential equation and its related logarithmic equation is to be given.

Step 2. Explanation.

An exponential equation of the form $a^b=c$ is written in logarithmic form as $b={\log }_a^c$

Considering the general form and writing an example of an exponential equation:

$3^x=90$

So, the logarithmic form is written as:

$x={\log }_3^{90}$

Step 3. Conclusion.

Hence, an example of an exponential equation and its related logarithmic equation is $3^x=90,x={\log }_3^{90}$.