Trigonometry Examples

Find the Inverse y=e^(x-1)
Interchange the variables.
Solve for .
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Rewrite the equation as .
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Use logarithm rules to move out of the exponent.
The natural logarithm of is .
Multiply by .
Add to both sides of the equation.
Solve for and replace with .
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Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Simplify each term.
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Use logarithm rules to move out of the exponent.
The natural logarithm of is .
Multiply by .
Combine the opposite terms in .
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Add and .
Add and .
Since , is the inverse of .
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