Solving Logarithmic Equations Worksheet With Answer Key Page 2
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2
3
4Example 4
CHEMISTRY Refer to the application at the beginning of Lesson 11-4 in your book. How long
would it take for 640,000 grams of Polonium-194, with a half-life of 0.5 second, to decay to 5000
grams?
t
1
1
t
N = N
N = N
(1 + r)
for r = -
0
0
2
2
t
5000 = 640,000 1
N = 5000, N
= 640,000
0
2
t
1
1
128 =
Divide each side by 640,000.
2
1
log
= t
Write the equation in logarithmic form.
1
128
2
1
7
log
= t
128 = 2
1
7
2
2
7
n
1
1
1
log
= t
1
2
n
b
b
2
7
t
1
= 1
Definition of logarithm
2
2
7 = t
It will take 7 half-lives or 3.5 seconds.
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