SOLUTION: {{{4^(2x)=(1/64)}}}

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Question 452420: 4%5E%282x%29=%281%2F64%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%282x%29=%281%2F64%29
64 = 4^3, therefore we can write it:
4%5E%282x%29=%281%2F4%5E3%29
the reciprocal
4%5E%282x%29=4%5E%28-3%29
therefore
2x = -3
x = %28-3%29%2F2
x = -1.5
:
:
Check this
4%5E%282%2A-1.5%29=%281%2F64%29
4%5E-3=%281%2F64%29