Determine the time (in hours) at which the populations modeled by and are equal

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Determine the time

t

(in hours) at which the populations modeled by

A(t)=500e^{0.3t}

and

B(t)=1000e^{0.15t}

are equal. Provide your answer to three decimal places.