Exponential And Logarithmic Functions Worksheet
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2
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4Exponential and Logarithmic Functions Practice Test
Name___________________________________
Graph the function by making a table of coordinates.
Graph the functions in the same rectangular coordinate
x
1
system.
1) f(x) =
10) f(x) = 3 x and g(x) =log 3 x
5
y
y
y
y
6
6
6
6
4
4
2
2
x
x
x
x
-6
-6
6
6
-6
-6
-4
-4
-2
-2
2
2
4
4
6
6
-2
-2
-4
-4
-6
-6
-6
-6
Find the domain of the logarithmic function.
nt
r
Use the compound interest formula A = P 1 +
11) f(x) = log
(x + 8)
n
3
2) Find the accumulated value of an investment
Evaluate or simplify the expression without using a
of $200 at 8% compounded quarterly for 4
calculator.
years.
1
12) log
10,000
Write the equation in its equivalent exponential form.
3) log
4 = x
2
13) ln e 10
Write the equation in its equivalent logarithmic form.
4) c 2 = 169
4
14) ln
e
Evaluate the expression without using a calculator.
Evaluate the expression without using a calculator.
1
5) log
15) e ln 2x 5
2
4
1
Use properties of logarithms to expand the logarithmic
6) log 9
expression as much as possible. Where possible, evaluate
9
logarithmic expressions without using a calculator.
16) log b (yz 4 )
7) log
100
10
x - 8
log
19
17) log
8) 8
8
5
x 8
9) log
1
10
18) log
10x
2
1
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