Solve for x log base x of 9=-2

Math
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…
Rewrite the expression using the negative exponent rule .
Solve for .
Tap for more steps…
Multiply each term by and simplify.
Tap for more steps…
Multiply each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Rewrite the equation as .
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 .
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.
Tap for more steps…
Simplify the right side of the equation.
Tap for more steps…
Rewrite as .
Any root of is .
Simplify the denominator.
Tap for more steps…
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps…
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 log base x of 9=-2

Download our
App from the store

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

Scroll to top