PreCalculus
posted by Caroline on .
Could someone check my answers?
25. 32^(2x3)=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^(x2)=25
Answer x= 7/2
33. 81^(x1)=27^2x
Answer x= 2
34. 4^(3x7)=32^2x
I'm having problems with number 34.

34.
4^(3x7) = 32^x
(2^2)^(3x7) = (2^5)^x
2^(6x14) = 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^(x2)x = 25
(5^3)^(x2) = 5^2
5^(3x6) = 5^2
3x6=2
3x = 8
x = 8/3 
Thank you