Consider the function

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

Problem

Consider the function p(x)=log⁡3(2x−1)p(x)=\log_{3}(2x-1). Its correct classification and natural domain are (a) logarithmic function; x>0x>0 (b) rational function; x>12x>\dfrac12 (c) logarithmic function; x>12x>\dfrac12 (d) logarithmic function; x≥12x\ge \dfrac12

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