SOLUTION: Solve for x (1/16)^x=4(64)^x

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Question 1019843: Solve for x
(1/16)^x=4(64)^x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can take the log to the base +4+
of both sides
+%28+1%2F16+%29%5Ex+=+4%2A%28+64+%29%5Ex+
+x%2A%28+-2+%29++=+1+%2B+x%2A3+
+-2x+=+1+%2B+3x+
+5x+=+-1+
+x+=+-1%2F5+
------------
check:
+%28+1%2F16+%29%5E%28-1%2F5%29+=+4%2A64%5E%28-1%2F5%29+
I'll do it with calculator
+.0625%5E%28-.2%29+=+4%2A64%5E%28-.2%29+
+1.7411+=+4%2A.4353+
+1.7411+=+1.7411+
OK