SOLUTION: when log3=a log4=b Find log(root18)

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Question 993985: when log3=a log4=b Find log(root18)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if
log%283%29=a
log%284%29=b=>log%282%5E2%29=b=>2log%282%29=b=>log%282%29=b%2F2
then
log%28%28sqrt%2818%29%29%29
=log%28%28sqrt%282%2A9%29%29%29
=log%28%283sqrt%282%29%29%29
=log%283%29%2Blog%28%282%5E%281%2F2%29%29%29
=log%283%29%2B%281%2F2%29log%282%29...since log%283%29=a and log%282%29=b%2F2, we have

=a%2B%281%2F2%29%28b%2F2%29
=a%2Bb%2F4