Use the law of Logarithms to rewrite the expression below in

Use the law of Logarithms to rewrite the expression below in a form with no logarithm of a product, quotient power log(a^6/b^3 squareroot c)

Solution

log(a^6/b^3sqrtc)

Exapnding the above expression:

logx^y = ylogx ; log(a/b) = loga - logb

loga^6 - logb^3sqrtc

6loga - ( logb^3 + logsqrtc)

6loga - 3logb - (1/2)logc