K 3 Chapter 3 Course Mork Solve the exponential equation by expressing each side as a power of the same base and then equating exponents. \[ 3^{x}=243 \] The solution set is \( \{\square \)

To solve the equation \( 3^{x} = 243 \), we first express 243 as a power of 3. We know that \( 243 = 3^5 \) because \( 3 \times 3 \times 3 \times 3 \times 3 = 243 \). Now, we can rewrite the equation as \( 3^x = 3^5 \). Since the bases are the same, we can equate the exponents: \( x = 5 \). So, the solution set is \( \{5\} \).