AP Precalculus Quiz
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Question 1
of 20
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Carbon-14 follows
N
(
t
)
=
N
0
(
1
2
)
t
/
5730
N(t)=N_0\left(\tfrac12\right)^{t/5730}
N
(
t
)
=
N
0
(
2
1
)
t
/5730
. When
N
(
t
)
=
0.30
N
0
N(t)=0.30N_0
N
(
t
)
=
0.30
N
0
, find
t
t
t
(years).
A
t
=
5730
ln
(
0.30
)
ln
(
1
/
2
)
t=5730\,\dfrac{\ln(0.30)}{\ln(1/2)}
t
=
5730
ln
(
1/2
)
ln
(
0.30
)
B
t
=
5730
ln
(
1
/
2
)
ln
(
0.30
)
t=5730\,\dfrac{\ln(1/2)}{\ln(0.30)}
t
=
5730
ln
(
0.30
)
ln
(
1/2
)
C
t
=
5730
ln
(
0.30
)
ln
(
2
)
t=5730\,\dfrac{\ln(0.30)}{\ln(2)}
t
=
5730
ln
(
2
)
ln
(
0.30
)
D
t
=
ln
(
0.30
)
ln
(
1
/
2
)
t=\dfrac{\ln(0.30)}{\ln(1/2)}
t
=
ln
(
1/2
)
ln
(
0.30
)
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