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

Math
Use the quotient property of logarithms, .
To solve for , rewrite the equation using properties of logarithms.
Solve for
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Exponentiation and log are inverse functions.
Simplify.
Solve for .
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Multiply each term by and simplify.
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Multiply each term in by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify .
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Simplify by multiplying through.
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Apply the distributive property.
Move to the left of .
Move to the left of .
Rewrite the equation as .
Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Simplify the left side of the equation by cancelling the common factors.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify each term.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
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 2- natural log of 3x+2=1

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