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Trigonometry Examples
Step 1
Use the quotient property 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
Cross multiply to remove the fraction.
Step 4
Step 4.1
Simplify by multiplying through.
Step 4.1.1
Apply the distributive property.
Step 4.1.2
Move to the left of .
Step 4.2
Simplify each term.
Step 4.2.1
Move to the left of .
Step 4.2.2
Rewrite as .
Step 5
Subtract from both sides of the equation.
Step 6
Subtract from both sides of the equation.
Step 7
Step 7.1
Factor out of .
Step 7.2
Factor out of .
Step 7.3
Factor out of .
Step 8
Step 8.1
Divide each term in by .
Step 8.2
Simplify the left side.
Step 8.2.1
Cancel the common factor of .
Step 8.2.1.1
Cancel the common factor.
Step 8.2.1.2
Divide by .
Step 8.3
Simplify the right side.
Step 8.3.1
Combine the numerators over the common denominator.
Step 8.3.2
Factor out of .
Step 8.3.3
Rewrite as .
Step 8.3.4
Factor out of .
Step 8.3.5
Simplify the expression.
Step 8.3.5.1
Rewrite as .
Step 8.3.5.2
Move the negative in front of the fraction.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: