Q. 61 - Precalculus Enhanced with Graphing Utilities

Question

Solve the equation. Verify your results using a graphing utility.

$7^x=7^3$

Step-by-Step Solution

Answer

The solution set is$\left\{3\right\}$.

Step 1. Solve the equation.

Consider the given question,

$7^x=7^3$

As the base is same. Then,

$x=3$

Hence, the solution set is $\left\{3\right\}$.

Step 2. Verify using the graph.

Graph $y_1=7^x$ and $y_2=7^3$,

Clearly, the point of intersection is $y=3$.

Hence, it has been proved.