SOLUTION: if (64)^x=2 sqr.rt of x then find value of x

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Question 763580: if (64)^x=2 sqr.rt of x then find value of x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+64%5Ex+=+2%2Asqrt%28x%29+
Square both sides
+64%5E%282x%29+=+4x+
+2%5E%28+6%2A2x+%29+=+4x+
+2%5E%28+12x+%29+=+4x+
+2%5E%28+12x+%29+=+2%5E2+%2A+x+
+x+=+2%5E%28+12x+-+2+%29+
+log%28+2%2Cx+%29+=+12x+-+2+
+12x+-+log%28+2%2Cx+%29+=+2+
This is all I can think of