SOLUTION: Can anyone give me a hand with this one? Thanks! 3^x-1 = 2 Give answer to four decimal places. Thanks again!

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Question 64649This question is from textbook college algebra
: Can anyone give me a hand with this one? Thanks!
3^x-1 = 2
Give answer to four decimal places. Thanks again! This question is from textbook college algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%28x-1%29+=+2 Take the loarithm of both sides.
%28x-1%29log%28%283%29%29+=+log%28%282%29%29 Divide both sides by log(3).
x-1+=+%28log%28%282%29%29%29%2Flog%28%283%29%29 Add 1 to both sides.
x+=+%28log%28%282%29%29%29%2Flog%28%283%29%29+%2B+1 Evaluate using your calculator.
x+=+0.630929+%2B+1
x+=+1.6309 to four decimal places.
Check:
3%5E%28x-1%29+=+2 Substitute x = 1.6309
3%5E0.6309+=+1.9999346 This is very close to 2.