SOLUTION: Solve equation Logarithm {{{(1/2)log(3,x)=2log(3,2)}}}

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Question 931628: Solve equation Logarithm
%281%2F2%29log%283%2Cx%29=2log%283%2C2%29
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F2%29log%283%2Cx%29=2log%283%2C2%29
log%283%2Cx%5E%281%2F2%29%29=log%283%2C2%5E2%29....if log same then
x%5E%281%2F2%29=2%5E2 is same too; so, solve it for x
sqrt%28x%29=4 square both sides
%28sqrt%28x%29%29%5E2=4%5E2
highlight%28x=16%29