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

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Math Problems

Grade 8

Solve equations with variable exponents

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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; $w = 2$ .