Simplify by moving inside the logarithm.

Use the product property of logarithms, .

Multiply .

Reorder and .

Simplify by moving inside the logarithm.

Apply the product rule to .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Use the quotient property of logarithms, .

Reorder factors in .

Write as a Single Logarithm 3 natural log of a-1/2( natural log of b+ natural log of c^2)