SOLUTION: (ln x)^2=3

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Question 1019230: (ln x)^2=3
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+ln%28x%29+%29%5E2+=+3+
Take the square root of both sides
+ln%28x%29+=+sqrt%283%29+
Now use the inverse:
+e%5Esqrt%283%29+=+x+
+x+=+5.652+
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check:
+%28+ln%28x%29+%29%5E2+=+3+
+%28+ln%285.652%29+%29%5E2+=+3+
+1.732%5E2+=+3+
+2.9998+=+3+
( error due to rounding off )
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Note that if I had taken the negative
+sqrt%283%29+,
+e%5E%28-sqrt%283%29%29+=+x+
+e%5E%28-1.732+%29+=+x+
+x+=+.1769+
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check:
+%28+ln%28x%29+%29%5E2+=+3+
+%28+ln%28.1769%29+%29%5E2+=+3+
+ln%28+.1769+%29+=+-sqrt%283%29+
+-1.732+=+-sqrt%283%29+
square both sides
+3+=+3+
OK so, both answers are good