SOLUTION: log4 x^2-log4 (x-1)=1

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Question 990682: log4 x^2-log4 (x-1)=1
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the substitution:
+1+=+log%28+4%2C4+%29+
------------------
+log%28+4%2Cx%5E2+%29+-+log%28+4%2Cx-1+%29+=+log%28+4%2C4+%29+
+log%28+4%2C+x%5E2%2F%28x-1%29+%29+=+log%28+4%2C4+%29+
+x%5E2%2F%28+x-1+%29+=+4+
+x%5E2+=+4x+-+4+
+x%5E2+-+4x+%2B+4+=+0+
+%28+x+-+2+%29%5E2+=+0+
+x+=+2+
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check:
+log%28+4%2Cx%5E2+%29+-+log%28+4%2Cx-1+%29+=+1+
+log%28+4%2C2%5E2+%29+-+log%28+4%2C2-1+%29+=+1+
+log%28+4%2C4+%29+-+log%28+4%2C1+%29+=+1%0D%0A%7B%7B%7B+1+-+0+=+1+
OK