Solve $2^{x} = 16$

Answer

x = 4

Step-by-step solution

Step 1 · Match the bases
$16 = 2^{4}$
Rewriting both sides with base 2 avoids logarithms entirely.
Step 2 · One-to-one property of exponentials
$2^{x} = 2^{4} \Rightarrow x = 4$
Equal powers with equal bases force equal exponents.

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