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Chapter 8 Test #2 Review
9
1log: 3Evaluate
23log91
log
00001.0log:Evaluate
5
Write 4
38log16
In Exponential Form
81643
Write 10001002
3
In Logarithmic Form
2
31000log100
Write as a SINGLE LOGARITHM
yw xx log5log3 A.
B.
)3(log)4(log2 22 xx
A. 53log ywx B.
3
)4(log
2
2 x
x
Expand each logarithmic Expression
1.
27 3log x
2.
4log5
x
1.
x77 log23log 2.
4loglog 55 x
Solve for x:232
16
1 x
3
2x
EVALUATE:
3
1log
2
3
710.2
23
log
31
log
Convert the following to a logarithm in base 3
3
1log
2
3
051.0log3
1log 3
2
3
ANSWER
You place $450.00 in a savings account at a bank that continuously compounds the interest at an annual interest rate of 2.5%. How long does it take the money to double?
te 025.450900years726.27
The salmon in a river in Canada are increasing at an annual rate of 7%. Right now there are 500,000 salmon in the river.A. Write an exponential function that models the salmon population.
xy 07.1000,500
B. Predict the number of salmon in the river in 5 years.
About 701,276 salmon
Phosphorus-32 has a half life of 14 daysA. Write a decay function for a phosphorus-32
sample that has an initial amount of 120 mg.
14
2
1120
x
y
B. Find the amount of phosphorus-32 that remains after 84 days.
mgy 875.12
1120
14
84
The pH of a liquid is a measure of how acidic (or basic) it is. ]log[ HpHwhere ][ H Represents the concentration of
hydrogen ions in a liquid.
A. Find the pH level of a liquid with a equal to
][ H 31076.1
754.200176.log pH
B. Find the concentration of ions in a liquid that has a pH of 7 ]log[7 H
]log[7 H][10 7 H
][0000001.0101 7 H
Graph:
4log2 xyWhat is the x-intercept
Asymptote Equation
Graph:
32 xeyAsymptote Equation
