To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Multiply by .

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

The LCM is the smallest number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.

Multiply each term in by in order to remove all the denominators from the equation.

Simplify each term.

Simplify the denominator.

Split the fraction into two fractions.

Simplify each term.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Split the fraction into two fractions.

Simplify each term.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Split the fraction into two fractions.

Simplify each term.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

Multiply by .

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

Move to the left side of the equation by adding it to both sides.

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Factor out of .

Factor out of .

Set equal to and solve for .

Set the factor equal to .

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

No solution

No solution

Solve for a (1/( log of 1-(1/a)))-a=a