Use the product property of logarithms, .

Use the quotient property of logarithms, .

Simplify by moving inside the logarithm.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Use the product property of logarithms, .

Combine and .

Move to the left of .

Combine ( log of 9+1/2 log of x+ log of x^3+4)- log of 6