The population of a certain bacteria culture after hours is modelled by

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

Problem

The population of a certain bacteria culture after

t

hours is modelled by

P=5^{t}

. Which of the following expressions correctly gives

t

in terms of

P

? (a)

t=\log_{P} 5

(b)

t=\dfrac{P}{5}

(c)

t=\log_{5} P

(d)

t=\ln P