Answer the following about logarithmic functions:

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

Problem

Answer the following about logarithmic functions: (i) State the conditions that the real numbers aa and bb must satisfy for the expression log⁡ab\log_a b to be defined. (ii) Give a brief explanation (one or two sentences each) why each of these conditions is necessary. (iii) Using these conditions, find the domain of the function f(x)=log⁡(5−2x)f(x)=\log(5-2x).

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