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January 27, 2015

January 27, 2015

Posted by **Caroline** on Wednesday, May 1, 2013 at 12:59am.

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

Answer- x= 8/5

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

Answer- x= 1/2

27. 1/4=2^3x

Answer- x= -2/3

28. 1/27=3^2x

Answer- x= -3/2

29. 9^x=27

Answer- x= 3/2

30. 32^x=4

Answer- x= 2/5

31. 27^(x+1)=9

Answer- x= 1/2

32. 125^(x-2)=25

Answer- x= 7/2

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

Answer- x= -2

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

I'm having problems with number 34.

- Pre-Calculus -
**Reiny**, Wednesday, May 1, 2013 at 7:48am34.

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

- Pre-Calculus -
**Caroline**, Wednesday, May 1, 2013 at 4:14pmThank you

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