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Trigonometry Examples
Step 1
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 2
Step 2.1
Expand by moving outside the logarithm.
Step 2.2
The natural logarithm of is .
Step 2.3
Multiply by .
Step 3
Expand by moving outside the logarithm.
Step 4
Subtract from both sides of the equation.
Step 5
Step 5.1
Factor out of .
Step 5.1.1
Factor out of .
Step 5.1.2
Factor out of .
Step 5.1.3
Factor out of .
Step 5.2
Simplify by moving inside the logarithm.
Step 5.3
Raise to the power of .
Step 6
Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
Step 6.2.1
Cancel the common factor of and .
Step 6.2.1.1
Rewrite as .
Step 6.2.1.2
Factor out of .
Step 6.2.1.3
Factor out of .
Step 6.2.1.4
Cancel the common factor.
Step 6.2.1.5
Divide by .
Step 6.2.2
Multiply .
Step 6.2.2.1
Multiply by .
Step 6.2.2.2
Multiply by .
Step 6.3
Simplify the right side.
Step 6.3.1
Divide by .