Solve for x log base six of x plus log base six of x minus three equals two

Solve for x log base 6 of x+ log base 6 of x-3=2
Simplify the left side.
Tap for more steps...
Use the product property of logarithms, .
Apply the distributive property.
Simplify the expression.
Tap for more steps...
Multiply by .
Move to the left of .
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Raise to the power of .
Solve for
Tap for more steps...
Rewrite the equation as .
Move to the left side of the equation by subtracting it from both sides.
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Tap for more steps...
Simplify the numerator.
Tap for more steps...
Raise to the power of .
Multiply by .
Multiply by .
Add and .
Rewrite as .
Tap for more steps...
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
The final answer is the combination of both solutions.
Exclude the solutions that do not make true.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Do you need help with solving Solve for x log base 6 of x+ log base 6 of x-3=2? We can help you. You can write to our math experts in our application. The best solution for you is above on this page.