SOLUTION: solve {{{log base 3 fourth root 5 is less than or equal to x}}} using naturla logarithms.

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Question 533071: solve log+base+3+fourth+root+5+is+less+than+or+equal+to+x using naturla logarithms.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
logb3%284sqrt%285%29%29 Or logb3%285%5E%281%2F4%29%29
:
logb3%285%5E%281%2F4%29%29 = x
Write exponent equiv of logs
3%5Ex = 5%5E%281%2F4%29
using natural logs
ln%283%5Ex%29 = ln%285%5E%281%2F4%29%29
which is
x%2Aln%283%29 = %281%2F4%29%2Aln%285%29
find the ln
1.0986x = 1%2F4*1.6094
1.0986x = .40236
x = .40236%2F1.0986
x = .36624
:
:
Confirm this with a calc
3^.36624 = 1.4953
5^(1/4) = 1.4953