given that log(6)/log(a) = p and log(108)/log(a) = q , express log(3)/log(a) in terms of p and q

1 answer

log6=log2+log3
log108=log2+log27+log2
= 2log2 + 3log3

ploga=log2+log3
q loga=2log2+3log3
double the firstequation, then subtract.

(q-2p)loga=log3
log3/loga=q-2p
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