Enter a problem...
Trigonometry Examples
Step 1
To solve for , rewrite the equation using properties of logarithms.
Step 2
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 3
Step 3.1
Rewrite the equation as .
Step 3.2
To remove the radical on the left side of the equation, square both sides of the equation.
Step 3.3
Simplify each side of the equation.
Step 3.3.1
Use to rewrite as .
Step 3.3.2
Simplify the left side.
Step 3.3.2.1
Simplify .
Step 3.3.2.1.1
Multiply the exponents in .
Step 3.3.2.1.1.1
Apply the power rule and multiply exponents, .
Step 3.3.2.1.1.2
Cancel the common factor of .
Step 3.3.2.1.1.2.1
Cancel the common factor.
Step 3.3.2.1.1.2.2
Rewrite the expression.
Step 3.3.2.1.2
Simplify.
Step 3.3.3
Simplify the right side.
Step 3.3.3.1
Multiply the exponents in .
Step 3.3.3.1.1
Apply the power rule and multiply exponents, .
Step 3.3.3.1.2
Multiply by .
Step 3.4
Subtract from both sides of the equation.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: