Exponential & Logarithmic Equations [PT 99-27] - Everett Community College
Exponential & Logarithmic Equations
[PT 99-27]
Solve 1) log4 x log4 5 1
2) log5 x 2 log5 3
3) 3log4 x log4 125
4) log6 x log6 x 5 1
5) log2 x log2 x 3 2
6) log3 2x log3 x 2 4
7) logb 6 logb y logb 18
8) logb 2 logb x logb 8
9) log9 2x 7 log9 x 1 log9 x 7
10)
1 2
log
4
x log4 2x 1
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11) 2logb x logb 2x 1
12) 2logb x logb 6x 5
13) 3x 7
14) 5x1 6
15) 52x1 9
16) 6y2 5y
17) 52x1 3x3
18) 103x2 5x3
19) 5x 7.3x
20) 6a 5a1 8
Answers: 1) x 4 2) x 25 3) x 5 4) x 6 5) no solution 6) x 162 7) y 3
5
3
79
8) x 1 9) x 10 10) no solution 11) x 1 2 (only) 12) x 1,5 13) x log 7
4
log 3
14) x log 6 log 5 15) x log 9 log 5 16) y 2log 6
17) x log 5 3log 3
log 5
2 log 5
log 5 log 6
2log 5 log 3
18) x 3log 5 2 3 log 5
19)
x
log 7 log 5
3
20) a log 40 log 30
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