SOLUTION: log8 x^2 = (log8 x)^2

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Question 437896: log8 x^2 = (log8 x)^2
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%288%2C+x%5E2%29+=+%28log%288%2C+x%29%29%5E2+
+2%2Alog%288%2C+x%29+=+%28log%288%2Cx%29%29%5E2+
Let +log%288%2Cx%29+=+k+
+2k+=+k%5E2+
+k%5E2+-+2k+=+0+
+k%2A%28k+-+2%29+=+0+
+k+=+0+
+k+=+2+
---------
+log%288%2Cx%29+=+0+
+x+=+1+
and
+log%288%2Cx%29+=+2+
+x+=+64+
--------------
check answers:
+log%288%2C+x%5E2%29+=+%28log%288%2C+x%29%29%5E2+
+log%288%2C+1%5E2%29+=+%28log%288%2C+1%29%29%5E2+
+0+=+0+
and
+log%288%2C+x%5E2%29+=+%28log%288%2C+x%29%29%5E2+
+log%288%2C+64%5E2%29+=+%28log%288%2C+64%29%29%5E2+
+log%288%2C+4096%29+=+%28log%288%2C+64%29%29%5E2+
+4+=+4+
OK