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Solve for $w$ . $\newline$ $5^w = 25$ $\newline$ $w$ = ____

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Solve equations with variable exponents

Full solution

Q. Solve for

w

.

\newline

5^w = 25

\newline

w

= ____

Recognize base and result: Recognize the base and the result; $5^w = 25$ . Here, $5$ is the base and $25$ is the result.
Identify expression for $25$ : Identify that $25$ can be expressed as $5^2$ . So, $5^w = 5^2$ .
Set exponents equal: Since the bases are the same, set the exponents equal to each other; $w = 2$ .

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