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Mathematics
Mathematics
Problem
The population of a certain bacteria culture after
t
t
t
hours is modelled by
P
=
5
t
P=5^{t}
P
=
5
t
. Which of the following expressions correctly gives
t
t
t
in terms of
P
P
P
? a)
t
=
log
P
5
t=\log_{P} 5
t
=
lo
g
P
5
b)
t
=
P
5
t=\dfrac{P}{5}
t
=
5
P
c)
t
=
log
5
P
t=\log_{5} P
t
=
lo
g
5
P
d)
t
=
ln
P
t=\ln P
t
=
ln
P
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