SOLUTION: log(base 3)(x+1)-log(base 3)(x)= log(base 3)4

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Question 37532: log(base 3)(x+1)-log(base 3)(x)= log(base 3)4
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C%28x%2B1%29%29+-+log%283%2Cx%29+=+log%283%2C4%29
log a/b = log a - log b
log%283%2C%28x%2B1%29%2Fx%29+=+log%283%2C4%29
If the logs are equal, then the things we are taking the
log of are equal
%28x+%2B+1%29+%2F+x+=+4
x+%2B+1++=+4x
3x+=+1
x+=+1%2F3
check
log%283%2C%28x%2B1%29%29+-+log%283%2Cx%29+=+log%283%2C4%29
log%283%2C4%2F3%29+-+log%283%2C1%2F3%29+=+log%283%2C4%29
log%283%2C4%29+-+log%283%2C3%29+-+log%283%2C1%29+%2B+log%283%2C3%29+=+log%283%2C4%29
note that

log%283%2C4%29+-+1+-+0+%2B+1+=+log%283%2C4%29
checks OK