The expression is equivalent to:

MATHEMATICS · Single correct · AoPS · Mathematics · Exponents and Logarithms · Exponents and Logarithms

Problem

The expression log⁡15(1x)\log_{\frac{1}{5}}\left(\frac{1}{x}\right) is equivalent to: (A) −log⁡5x-\log_5 x (B) log⁡5x\log_5 x (C) log⁡(x5)\log\left(\frac{x}{5}\right) (D) log⁡(5x)\log(5x)

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