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Logarithmic & Exponential Equations
Contributed by: Khasim
(Original author: Kuester)
  • 1. 34x+5=3-7
A) -3
B) 3
C) 1/2
D) 1/3
  • 2. 53-2x=5-x
A) 1/3
B) -3
C) 4/3
D) 3
  • 3. 42x+3=1
A) -2/3
B) -3/2
C) 2/3
D) 3/2
  • 4. 31-2x=243
A) No solution
B) -1/2
C) 2
D) -2
  • 5. 52x=53x
A) 1/3
B) 1/2
C) 0
D) 1
  • 6. 72x+2=73x
A) 1/2
B) -2
C) 2/5
D) 2
  • 7. 2x+3=8x-5
A) 4
B) -8
C) No Solution
D) 9
  • 8. 92x-1=(1/3)x+2
A) 5/9
B) 4/3
C) -2
D) 0
  • 9. 10-2x=.1
A) 2
B) 1/2
C) -1/2
D) 1/4
  • 10. 57x-35=1
A) -1/5
B) 5
C) 1/5
D) 0
  • 11. 3x=17
A) 2.4813
B) 2.5789
C) 2.6134
D) 2.7654
  • 12. 16x=67
A) 1.5165
B) 4.8751
C) 1.8974
D) 1.1034
  • 13. 16x-7 + 5 = 24
A) 6.3254
B) 2.3698
C) 8.062
D) 1.5987
  • 14. log(x-6)=log 7
A) 13
B) 1
C) -1
D) 6/7
  • 15. log(-3x - 1) = log(-4x - 6)
A) 3
B) 5
C) No solution
D) -5
  • 16. log8(2x-9)=log8(5x-3)
A) -2
B) No solution
C) 7
D) 2
  • 17. log3(6x + 1) = log3(4x + 8)
A) 2/9
B) 7/2
C) 9/2
D) No solution
  • 18. log2(x2 - 6x) = log2(10 + 3x)
A) 1
B) -1, 10
C) 1, -10
D) 10
  • 19. log2(3x + 5) = 3
A) -2
B) 3
C) 2
D) 1
  • 20. log5(4x - 7) = 2
A) 8
B) -4
C) 9/4
D) No solution
  • 21. log1
A) 1
B) 0
C) No solution
D) 2
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