SOLUTION: How do u solve this? Log(Xsquared)=(logX)squared

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Question 432584: How do u solve this?
Log(Xsquared)=(logX)squared
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Log%28X%5E2%29=%28logX%29%5E2
2Log%28X%29=%28logX%29%5E2
------------
Sub w for log(x)
2w+=+w%5E2
w%5E2+-+2w+=+0
w = 0
w = 2
------
w=0 is not allowed
-----------
log(x) = 2
x = 100


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28x%5E2%29+=+%28log%28x%29%29%5E2+
+2%2Alog%28x%29+=+log%28x%29%2Alog%28x%29+
+2%2A%28log%28x%29%2Flog%28x%29%29+=+log%28x%29+
+log%28x%29+=+2+
+x+=+100+
check answer:
+log%28x%5E2%29+=+%28log%28x%29%29%5E2+
+log%28100%5E2%29+=+%28log%28100%29%29%5E2+
+log%2810%5E4%29+=+2%5E2+
+4%2Alog%2810%29+=+4+
+log%2810%29+=+1+
+1+=+1+
OK