# Solve for x log of 2x+1=1+ log of x-2 Move all the terms containing a logarithm to the left side of the equation.
Use the quotient property of logarithms, .
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Solve for
Evaluate the exponent.
Rewrite the equation as .
Solve for .
Multiply each term by and simplify.
Multiply each term in by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify .
Apply the distributive property.
Multiply by .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Dividing two negative values results in a positive value.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Solve for x log of 2x+1=1+ log of x-2   ## Download our App from the store

### Create a High Performed UI/UX Design from a Silicon Valley.  Scroll to top