Solve.
-$\log _ { 25 } 5 = w$
A) $w = 2$
B) $w = \frac { 1 } { 2 }$
C) $w = 25$
D) $w = 5$

Name: Solve. -$\log _ { 25 } 5 = w$ A) $w = 2$ B) $w = \frac { 1 } { 2 }$ C) $w = 25$ D) $w = 5$
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Question

Quizplus · Accepted Answer

The equation $\log_{25} 5 = w$ means $25^w = 5$. Since $25 = 5^2$, we can rewrite the equation as $(5^2)^w = 5^1$, which simplifies to $5^{2w} = 5^1$. Therefore, $2w = 1$, and solving for $w$ gives $w = \frac{1}{2}$.

Solve - log⁡255=w\log _ { 25 } 5 = wlog25​5=w A) w=2w = 2w=2

Solve
- $\log _ { 25 } 5 = w$ A) $w = 2$