Question

solve the equation.
$2^x = 16$
the solution set is .

Explanation:

Step1: Express 16 as a power of 2

We know that \( 16 = 2^4 \), so the equation \( 2^x = 16 \) can be rewritten as \( 2^x = 2^4 \).

Step2: Use the property of exponential functions

For exponential functions with the same base (\( a^m = a^n \) implies \( m = n \) when \( a > 0, a
eq 1 \)), since the base here is 2 (which is greater than 0 and not equal to 1), we can set the exponents equal to each other. So \( x = 4 \).

Answer:

\(\{4\}\)