AP Precalculus Quiz
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Question 1
of 20
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A sample decays by
A
(
t
)
=
200
(
1
2
)
t
/
6
A(t)=200\left(\tfrac12\right)^{t/6}
A
(
t
)
=
200
(
2
1
)
t
/6
. Determine the time, in years, for
A
(
t
)
A(t)
A
(
t
)
to reach
30
30
30
grams using logarithms.
A
t
=
6
log
2
(
200
30
)
t=6\log_{2}\!\left(\tfrac{200}{30}\right)
t
=
6
lo
g
2
(
30
200
)
B
t
=
6
log
10
(
200
30
)
t=6\log_{10}\!\left(\tfrac{200}{30}\right)
t
=
6
lo
g
10
(
30
200
)
C
t
=
6
log
2
(
30
200
)
t=6\log_{2}\!\left(\tfrac{30}{200}\right)
t
=
6
lo
g
2
(
200
30
)
D
t
=
log
(
30
200
)
log
(
1
2
)
t=\dfrac{\log\!\left(\tfrac{30}{200}\right)}{\log\!\left(\tfrac12\right)}
t
=
lo
g
(
2
1
)
lo
g
(
200
30
)
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