Solve.
-$\log _{7} \mathrm{x}=-4$
A) $\left\{\frac{1}{2401}\right\}$
B) $\left\{\frac{1}{16,384}\right\}$
C) $\{16,384\}$
D) $\{2401\}$

Name: Solve. -$\log _{7} \mathrm{x}=-4$ A) $\left\{\frac{1}{2401}\right\}$ B) $\left\{\frac{1}{16,384}\right\}$ C) $\{16,384\}$ D) $\{2401\}$
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Question

Quizplus · Accepted Answer

The equation $\log _{7} \mathrm{x}=-4$ can be rewritten in exponential form as $7^{-4} = x$. Calculating $7^{-4}$ gives $\frac{1}{2401}$, which matches choice A.

Solve - log⁡7x=−4\log _{7} \mathrm{x}=-4log7​x=−4 A) {12401}\left\{\frac{1}{2401}\right\}{24011​} B) {116,384}\left\{\frac{1}{16,384}\right\}{16,3841​} C) {16,384}\{16,384\}{16,384} D) {2401}\{2401\}{2401}

Solve
- $\log _{7} \mathrm{x}=-4$ A) $\left\{\frac{1}{2401}\right\}$ B) $\left\{\frac{1}{16,384}\right\}$ C) $\{16,384\}$ D) $\{2401\}$