Question

solve the equation.
$2^x = 16$

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 \(a\) (where \(a>0\), \(a
eq1\)), if \(a^m = a^n\), then \(m = n\). Here, the base \(a = 2\), so from \(2^x = 2^4\), we can conclude that \(x = 4\).

Answer:

\(x = 4\)