SOLUTION: 4^(x+1)=23

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Question 1106345: 4^(x+1)=23
Found 3 solutions by Alan3354, josgarithmetic, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%284%5E%28x%2B1%29%29%29=log%28%2823%29%29

%28x%2B1%29%2Alog%28%284%29%29=log%28%2823%29%29

x%2B1=log%28%2823%29%29%2Flog%28%284%29%29

x=log%28%2823%29%29%2Flog%28%284%29%29-1----------decide what base you want for the logarithm.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Take logs of both sides and use your rules for logarithms.

4%5E%28x%2B1%29+=+23
log%284%5E%28x%2B1%29%29+=+log%2823%29
%28x%2B1%29%2Alog%284%29+=+log%2823%29
x%2B1+=+log%2823%29%2Flog%284%29
x+=+log%2823%29%2Flog%284%29-1