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Trigonometry Examples
Step 1
Step 1.1
Use the product property of logarithms, .
Step 1.2
Apply the distributive property.
Step 1.3
Multiply by .
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
Simplify .
Step 3.2.1
Rewrite the expression using the negative exponent rule .
Step 3.2.2
Raise to the power of .
Step 3.2.3
Divide by .
Step 3.3
Move all terms not containing to the right side of the equation.
Step 3.3.1
Add to both sides of the equation.
Step 3.3.2
Add and .
Step 3.4
Divide each term in by and simplify.
Step 3.4.1
Divide each term in by .
Step 3.4.2
Simplify the left side.
Step 3.4.2.1
Cancel the common factor of .
Step 3.4.2.1.1
Cancel the common factor.
Step 3.4.2.1.2
Divide by .
Step 3.4.3
Simplify the right side.
Step 3.4.3.1
Divide by .