Exam 4c - Logarithmic & Exponential Functions Worksheet Page 4
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4MAC 1105 - College Algebra
1
20) e x + 7 =
20)
e 5
A) 2
B) -12
C) 12
D) -2
Solve the exponential equation. Express the solution set in terms of natural logarithms.
21) 4 x + 4 = 5 2x + 5
21)
5 ln 5 - 4 ln 4
A) {ln 5 - ln 4}
B)
ln 4 - 2 ln 5
5 5
4
C) {7 ln 5 - 5 ln 4}
D) ln
-
4 4
5 2
Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the
solution.
22) 5 x + 8 = 3
22)
A) 2.37
B) -1.12
C) 9.46
D) -7.32
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
23) log 2 (x - 5) + log 2 (x - 11) = 4
23)
A) {3}
B) {14}
C) {13, 3}
D) {13}
24) ln
x + 9 = 9
24)
e 9
B) {e 18 - 9}
C) {e 18 + 9}
D) {e 9 - 9}
A)
+ 9
2
x 2 = log
25) log
(5x + 36)
25)
3
3
A) 3
B)
C) {9}
D) {9, -4}
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