Solve for x natural log of -3x-1- natural log of 7=2

Math
Use the quotient property of logarithms, .
To solve for , rewrite the equation using properties of logarithms.
Solve for
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Simplify the left side.
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Exponentiation and log are inverse functions.
Factor out of .
Rewrite as .
Factor out of .
Simplify the expression.
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Rewrite as .
Move the negative in front of the fraction.
Multiply both sides of the equation by .
Simplify both sides of the equation.
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Simplify the left side.
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Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply.
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Multiply by .
Multiply by .
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 each term.
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Move the negative in front of the fraction.
Move the negative in front of the fraction.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x natural log of -3x-1- natural log of 7=2

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