Question

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

Answer 1

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`