SOLUTION: log (base 3) x = 4 log (base x) 3 solve for x i managed to get until this step 1 ---- = 4 log (base x) 3 log (base x) 3

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Question 111580: log (base 3) x = 4 log (base x) 3
solve for x
i managed to get until this step
1
---- = 4 log (base x) 3
log (base x) 3
i've changed the base of the log on the left hand side to x, same as the right hand side, then i got stuck.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2Cx%29+=+4%2Alog%28x%2C3%29
y+=+log%283%2Cx%29
3%5Ey+=+x
4%2Alog%28x%2C3%29+=+log%28x%2C+3%5E4%29
log%28x%2C+3%5E4%29+=+log%283%5Ey%2C+3%5E4%29
y+=+log%283%5Ey%2C+3%5E4%29
3%5E%28y%5E2%29+=+3%5E4
y%5E2+=+4
y+=+%2B2
y+=+-2
y+=+log%283%2Cx%29
2+=+log%283%2Cx%29
x+=+3%5E2
x+=+9 answer
-2+=+log%283%2Cx%29
x+=+3%5E-2
x+=+1%2F9 answer
check answers
log%283%2Cx%29+=+4%2Alog%28x%2C3%29
log%283%2C9%29+=+4%2Alog%289%2C3%29
2+=+2
log%283%2C1%2F9%29+=+4%2Alog%281%2F9%2C3%29
-2+=+-2