For , which statement about and is…

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

For x>1x>1, which statement about log⁡2x\log_2 x and log⁡5x\log_5 x is true? (a) log⁡2x=log⁡5x\log_2 x = \log_5 x (b) log⁡2x<log⁡5x\log_2 x < \log_5 x (c) log⁡2x>log⁡5x\log_2 x > \log_5 x (d) log⁡2x>log⁡5x\log_2 x>\log_5 x for 1<x<51<x<5 but log⁡2x<log⁡5x\log_2 x<\log_5 x for x>5x>5

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