Chapter 6 - Exponential Functions and Sequences - 6.5 - Solving Exponential Equations - Exercises - Page 329: 8

$x=5$

The given equation is $\Rightarrow 3^{x}=243$ Rewrite $243$ as $3^5$ $\Rightarrow 3^{x}=3^5$ Equate the exponents. $\Rightarrow x=5$ Check: $(x=5)$ $\Rightarrow 3^{5}=243$ $\Rightarrow 243=243$ True. Hence, the solution is $x=5$.