How do you use the properties of logarithms to find the exact value of $log_2 6*log_6 4$ ?

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Answer 1 · 2015-11-16T09:24:02

Using the chain of base rule

$log_2 6*log_6 4=log6/log2*log4/log6=log4/log2=log2^2/log2=2log2/(log2)=2$

The chain of base rule states that

$log_a b=logb/loga$

How do you use the properties of logarithms to find the exact value of log_2 6*log_6 4log_2 6*log_6 4?