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exponentials and logarithmic
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Topic 7 Review SNIPES Calculator
1. Look at the graph of the function f ( x) = ln x.
Which of the following statements is NOT true?
0A.B. The domain of f ( x) is x ≥ 0.
The range of f ( x) is all real numbers.
C. The x-intercept of f ( x) is ÁÊË 1, 0 ˜ˆ¯ .
D. f ( x) has an asymptote at x = 0.
Because it says 220 x never touches o
2. Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary.
log(x + 9) − log x = 3
looox seta
Log 2 n
4 3 n
103
sent 4 Yaa
a
1000
ng
3. Solve ln 2 + ln x = 5. Round to the nearest tenth, if necessary.
2n2x 5
es 2k
14 21
2 74.2
1
, 4. Use natural logarithms to solve the equation. Round to the nearest thousandth.
6e 3x + 10 = 12
10 10 T
61K2g 2 0.366
en 3
in
È ˘
5. Determine the maximum and minimum values of the function f(x) = −4 ⋅ log 2 x on the interval ÍÍÎ 1, 4 ˙˙˚ .
fix 4 Logar
min O
Max 8
change ofbaseformula
É
6. Suppose you invest $2000 at an annual interest rate of 4.9% compounded continuously. How much will you
rt
have in the account after 20 years? Hint: use A(t) = Pe
049.20
AH 2000e
7. Use natural logarithms to solve the equation. Round to the nearest thousandth.
8e 4x + 2 = 13
T J
eux12
I
in
E
2 0.379
8. An initial population of 490 quail increases at an annual rate of 30%. Use an exponential function to model
t
the quail population. What will the approximate population be after 4 years? Hint: use A(t) = a(1 + r)
490 1 0.3 4
1399.489
9. Evaluate e 2.3 to three decimal places.
9.974
2
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