Find the Inverse y=e^(3x+1)

Math
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.
Expand the left side.
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Expand by moving outside the logarithm.
The natural logarithm of is .
Multiply by .
Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify .
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Split the fraction into two fractions.
Move the negative in front of the fraction.
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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Rewrite as .
Simplify by moving inside the logarithm.
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Apply the distributive property.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
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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Combine the numerators over the common denominator.
Subtract from .
Divide by .
Add and .
Since , is the inverse of .
Find the Inverse y=e^(3x+1)


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