Posted by Katie on Tuesday, March 5, 2013 at 10:59pm.
6^(2log(x)) = 8

math  Steve, Tuesday, March 5, 2013 at 11:19pm
assuming logs base 10,
2logx = log_6(8)
logx = 1/2 log_6(8)
x = √(10^(log_6(8))
now log_6(8) = log6/log8. so
x = √(10^log6)^(1/log8)
= √(6^1/log8)
= 6^(1/log64)

math  Reiny, Tuesday, March 5, 2013 at 11:19pm
take log of both sides
log [ 6^(2logx) ] = log8
2logx (log6) = log8
2logx = log8/log6
log x^2= log8/log6
x^2= 10^(log8/log6)
x = √( 10^(log8/log6) ) = 3.804339012
check using your calculator, it works

math  go with Reiny  Steve, Wednesday, March 6, 2013 at 3:34pm
Go with Reiny's answer. I messed up my log base conversion.
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