Let be an exponential function

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

Problem

Let y=4xy=4^{x} be an exponential function. After rewriting it in logarithmic form, which of the following correctly gives the domain and range of the resulting logarithmic function? (a) Domain: x≥0x\ge 0, Range: all real numbers (b) Domain: x>0x>0, Range: x≥0x\ge 0 (c) Domain: x>0x>0, Range: all real numbers (d) Domain: all real numbers, Range: x>0x>0

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