Q. 13 - Precalculus Enhanced with Graphing Utilities

Question

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

If $3^x=3^4$, then $x=$_____

Step-by-Step Solution

Answer

If $3^x=3^4$, then $x=4$

Step 1. Given

The function $3^x=3^4$

To find the value of $x$

Step 2. Find the value of x

If $a^u=a^v$, then $u=v$

By this property,

if $3^x=3^4$, so $x=4$

So the value of $x$ is $4$