SOLUTION: Solve for x. Please round answer to four decimal places. 2^(4/log base 3 (x)) = 1/256 I have tried to solve for x by 2^4/logbase3 x = 2^-8 and then I am stuck. Please help

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for x. Please round answer to four decimal places. 2^(4/log base 3 (x)) = 1/256 I have tried to solve for x by 2^4/logbase3 x = 2^-8 and then I am stuck. Please help      Log On


   

Question 359524: Solve for x. Please round answer to four decimal places.
2^(4/log base 3 (x)) = 1/256
I have tried to solve for x by
2^4/logbase3 x = 2^-8
and then I am stuck.
Please help
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You're on the right track.
2%5E%284%2Flog%283%2C%28x%29%29%29=+2%5E-8
.
.
4%2Flog%283%2C%28x%29%29=-8
.
.
log%283%2C%28x%29%29=-4%2F8=-1%2F2
.
.
x=3%5E%28-1%2F2%29
.
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x=1%2Fsqrt%283%29
.
.
highlight%28x=sqrt%283%29%2F3%29