(a) Define a logarithmic function with base (…

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

(a) Define a logarithmic function with base aa (a>0, a≠1a>0,\,a\neq1). (a) Define a logarithmic function with base aa (a>0, a≠1a>0,\,a\neq1). (b) For each of the following logarithmic functions, state the domain and the range: (i) y=log⁡4xy=\log_{4}x (ii) y=log⁡0.2xy=\log_{0.2}x (c) State the coordinates of the point where the graph of any logarithmic function y=log⁡axy=\log_{a}x cuts the xx–axis.

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