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 SOLVE LOGARITIMIC EQUATIONS
_
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation. If necessary, round to the nearest thousandth.
1) 4 x = 18
A) {0.480}
1)
B) {1.504}
C) {2.085}
D) {4.500}
2) 2 (x - 2) = 20
A) {12.000}
2)
B) {4.303}
C) {6.322}
D) {2.322}
3) 5 (2x - 1) = 10
A) {1.500}
3)
B) {0.215}
C) {0.847}
D) {1.215}
4) 6e3x - 6 = 18
A) {8.000}
4)
B) {-1.634}
C) {2.161}
D) {2.366}
5) 15 3-x = 26
A) { 1.80 }
5)
B) { 1.27 }
C) { 3.83 }
D) { -1.27 }
6) e9x e6x = e5
A) {0.447}
6)
B) {0.333}
C) {-1.377}
D) {2.043}
7) e6x e4x = e2
A) {-1.400}
7)
B) {0.360}
C) {0.200}
D) {1.800}
Solve the equation and express the solution in exact form.
8) ln(18x + 3) = ln 11
4
A) - 9
8)
7
B)
9
C)
7
18
4
D)
9
9) log (x - 3) = 1 - log x
A) 5
9)
B) -2, 5
10) ln(6x - 5) + ln (x - 1) = ln 5
11
B) ∅
A)
6
C) -5, 2
D) -5
1
C) 1, 6
11
D) 0, 6
10)
1
11) log9 (x - 7) + log9 (x - 7) = 1
A) 10
11)
B)
C) -10, 10
50
12) log(x + 10) = 1 + log(4x - 3)
40
13
A)
B)
39
3
D) - 50, 50
12)
C)
40
, 1
39
D) 1
13) log (x + 3) = 1 - log x
A) -2
13)
C) -5, 2
B) 2
D) -2, 5
14) log (x - 9) = 1 - log x
A) -10, 1
14)
B) -10
C) 10
D) -1, 10
C) - 3
5
D)
2
15) log ( 2 + x) - log (x - 2 ) = log 5
A) 3
15)
B) ∅
2
Answer Key
Testname: SOLVE LOG EQUATIONS
1) C
2) C
3) D
4) D
5) A
6) B
7) C
8) D
9) A
10) A
11) A
12) A
13) B
14) C
15) A
3
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