# Pre-Calculus

posted by Caroline

25. 32^(2x-3)=2

26. 9^(2x+1)=81

27. 1/4=2^3x

28. 1/27=3^2x

29. 9^x=27

30. 32^x=4

31. 27^(x+1)=9

32. 125^(x-2)=25

33. 81^(x-1)=27^2x

34. 4^(3x-7)=32^2x

I'm having problems with number 34.

1. Reiny

34.
4^(3x-7) = 32^x
(2^2)^(3x-7) = (2^5)^x
2^(6x-14) = 2^(5x)

6x - 14 = 5x
x = 14

#31 and #32 are also incorrect, the rest are good

31.

27^(x+1) = 9
(3^3)^(x+1) = 3^2
3^(3x+3) = 3^2
3x+3=2
x = -1/3

32.

125^(x-2)x = 25
(5^3)^(x-2) = 5^2
5^(3x-6) = 5^2
3x-6=2
3x = 8
x = 8/3

2. Caroline

Thank you

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