Math 80
Chapter 8 Review
1) Convert to Logarithmic form: 2m 18
2) Without a calculator find the value of: Log81 Log2 8
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3) Solve the equation: 3(63x) 
1
27
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4) Solve: Log5 x  2
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5) Solve: Log(3x)  Log4  Log(x 1)
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6) Solve the equation, give the answer to 4 decimal places: 2x 7  7
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7) Solve: e 2x  7
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8) Express as a single logarithm: 2Loga m  Loga n  5Loga p
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Logk
9) Expand the Log expression:
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x2
y3
10) Use a calculator to find the value of each:
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b)  3e 4
a) 5Ln8
11) Solve the equation: Log6 (x 2 )  Log6 (6x  7)  0
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12) Graph the exponential function: y  2x  3
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13) Find the inverse f 1 (x) 
given f (x) 
14) Givenf (x)  3x  6 and
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
2x  5
3
g(x)  x 2  3 find ( f g)(x) and (g f )(x)
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c)

Log8
5
Log13
Answers Ch.8 Review
1) Log218  m
2) 0 + 3 = 3
3) x = 3
4) x = 1/25
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5) x = 4
6) x = -4.1926
Ln7
7) x =
2
m 2n
8) Loga 5
p
 9) Logk (x  2)  3Logk y
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10)
a) 10.4
b) – 163.8
c) – 4.2
11) x = 7, x = -1
12) plot the points for the graph
13) f 1 (x) 
3x  5
2
X
0
1
2
3
-1
-2
-3
Y
-2
-1
1
5
-2.5
-2.75
-2.875
14) f g(x)  3x 2  3 and g f (x)  9x 2  36x  39
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