Solve for x log base 12 of x+ log base 12 of 11x-1=1

Math
Simplify the left side.
Tap for more steps…
Use the product property of logarithms, .
Simplify by multiplying through.
Tap for more steps…
Apply the distributive property.
Reorder.
Tap for more steps…
Rewrite using the commutative property of multiplication.
Move to the left of .
Simplify each term.
Tap for more steps…
Multiply by by adding the exponents.
Tap for more steps…
Move .
Multiply by .
Rewrite as .
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Solve for
Tap for more steps…
Evaluate the exponent.
Rewrite the equation as .
Move to the left side of the equation by subtracting it from both sides.
Factor by grouping.
Tap for more steps…
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Tap for more steps…
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Tap for more steps…
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Set equal to and solve for .
Tap for more steps…
Set the factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Set equal to and solve for .
Tap for more steps…
Set the factor equal to .
Subtract from both sides of the equation.
The solution is the result of and .
Exclude the solutions that do not make true.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Solve for x log base 12 of x+ log base 12 of 11x-1=1

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top