SOLUTION: 4^(x-1) =8. Solve for x

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Question 1043783: 4^(x-1) =8. Solve for x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

4%5E%28x-1%29+=8.....recall, we can write 4 as 2%5E2 and 8 as 2%5E3
%282%5E2%29%5E%28x-1%29+=2%5E3
2%5E%282%28x-1%29%29+=2%5E3........now, if bases are same, exponents are same too
2%28x-1%29+=3.......solve for x
2x-2+=3
2x+=3%2B2
2x+=5
x+=5%2F2