SOLUTION: 2^(x-1)=8

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Question 950352: 2^(x-1)=8
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
2^(x-1) = 8
To eliminate the exponential from the left hand side, take the logarithm base 2 of both sides:
x-1+=+3%2B%28%282i%29%28pi%29n%29%2F%28log%282%29%29 for n element Z
Now let's solve for x, add 1 to both sides:
Answer: x+=+4%2B%28%282i%29%28pi%29n%29%2F%28log%282%29%29 for n element Z

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

2^(x-1)=8
2%5E%28x+-+1%29+=+8

2%5E%28x+-+1%29+=+2%5E3 ------ Converting 8 to 2%5E3

x - 1 = 3 ------- Bases are equal, and so are their exponents

x = 3 + 1, or highlight_green%28x+=+4%29