SOLUTION: Find the value of x in 4 to the power x-1=2 to the x+1 and 1/32=8 to the x

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Question 366583: Find the value of x in 4 to the power x-1=2 to the x+1 and
1/32=8 to the x
Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

*Note;  the idea is to find 'same bases' and set exponents equal to one another.

4^(x-1) = 2

%282%5E2%29%5E%28x-1%29+=+2     %28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29

2%5E%282%28x-1%29%29+=+2%5E1

2(x-1) = 1

2x - 2 = 1

x = 3/2



%281%2F32%29+=+8%5Ex+

2%5E-5+=+%282%5E3%29%5Ex+  %28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29

2%5E-5+=+2%5E%283x%29

-5 = 3x

(-5/3) = x