Use the quotient property of logarithms, .

Move all the terms containing a logarithm to the left side of the equation.

Use the quotient property of logarithms, .

Multiply the numerator by the reciprocal of the denominator.

Multiply and .

To solve for , rewrite the equation using properties of logarithms.

Exponentiation and log are inverse functions.

Multiply both sides of the equation by .

Remove parentheses.

Simplify .

Rewrite using the commutative property of multiplication.

Reorder factors in .

Add to both sides of the equation.

Solve for y natural log of y-1- natural log of 2=x+ natural log of x