# Solve for x 2 log of 3x- log of 9=1

Simplify the left side.
Simplify each term.
Simplify by moving inside the logarithm.
Apply the product rule to .
Raise to the power of .
Use the quotient property of logarithms, .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Write in exponential form.
For logarithmic equations, is equivalent to such that , , and . In this case, , , and .
Substitute the values of , , and into the equation .
Solve for .
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Take the root of both sides of the to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Exclude the solutions that do not make true.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x 2 log of 3x- log of 9=1