Solve the equation.
-$\log _{x} 625=4$
A) 5 or -5
B) 4 or -4
C) 4
D) 5

Name: Solve the equation. -$\log _{x} 625=4$ A) 5 or -5 B) 4 or -4 C) 4 D) 5
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Question

Quizplus · Accepted Answer

The equation $\log _{x} 625=4$ can be rewritten in exponential form as $x^4 = 625$. The only positive real number solution for $x$ that satisfies this equation is $x = 5$, because $5^4 = 625$. Negative bases are not considered here because the logarithmic function is defined only for positive bases (excluding 1).

Solve the Equation log⁡x625=4\log _{x} 625=4logx​625=4 A) 5 or -5 B) 4 or -4 C) 4

Solve the Equation $\log _{x} 625=4$ A) 5 or -5
B) 4 or -4
C) 4