SOLUTION: if log3(a)=b and loga(2)=c find loga(48)

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Question 1020929: if log3(a)=b and loga(2)=c find loga(48)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2Ca%29+=+b ==> log%28a%2C3%29+=+1%2Fb
log%28a%2C+2%29+=+c ==> log%28a%2C16%29+=+4log%28a%2C2%29+=+4c
==> log%28a%2C48%29+=+log%28a%2C3%2A16%29+=+log%28a%2C3%29+%2B+log%28a%2C16%29+=+1%2Fb%2B4c
Problem solved.