`log3 1/8`

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Express the following in index form : log_4 (1/8)=-3/2

Calculate : (v) 1/6 sqrt((3log 1728)/(1+1/2 log 0.36 + 1/3log8))

The value of |[log_3 1024, log_3 3],[log_3 8, log_3 9]| xx|[log_2 3, log_4 3],[log_3 4, log_3 4]|

Simplify: log((3)/(8)) + log ((45)/(8)) - log ((15)/(16)) .

|{:(" "log_3 512," "log_4 3),(" "log_3 8," "log_4 9):}|

Evaluate the determinant |(log_3 512,log_4 3),(log_3 8, log_4 9)|

Prove that log_3 log_2 8=1