SOLUTION: log base 3 of X = 1/2 log base 3 of 25 - 5 log base 3 of 2

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Question 1072120: log base 3 of X = 1/2 log base 3 of 25 - 5 log base 3 of 2
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
log base 3 of X = 1/2 log base 3 of 25 - 5 log base 3 of 2
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log(3,X)=(1/2)log(3,25)-5log(3,2)

log%283%2CX%29=%281%2F2%29log%283%2C25%29-5%2Alog%283%2C2%29

log%283%2CX%29=log%283%2C%2825%29%5E%281%2F2%29%29-log%283%2C2%5E5%29

log%283%2CX%29=log%283%2C5%29-log%283%2C32%29

log%283%2CX%29=log%283%2C%285%2F32%29%29

X=5%2F32