Use the quotient property of logarithms, .

Simplify by moving inside the logarithm.

Apply the product rule to .

Simplify each term.

Simplify by moving inside the logarithm.

Simplify by moving inside the logarithm.

Use the quotient property of logarithms, .

Use the quotient property of logarithms, .

Multiply the numerator by the reciprocal of the denominator.

Multiply and .

Simplify/Condense 8( log base z of p- log base z of q)-(1/3 log base z of u-3-4 log base z of v)