Solve for x natural log of x+ natural log of x+1 = natural log of 6

Math
Simplify the left side.
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Use the product property of logarithms, .
Apply the distributive property.
Simplify the expression.
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Multiply by .
Multiply by .
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
Solve for .
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Move to the left side of the equation by subtracting it from both sides.
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Set equal to and solve for .
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Set the factor equal to .
Add to both sides of the equation.
Set equal to and solve for .
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Set the factor equal to .
Subtract from both sides of the equation.
The solution is the result of and .
Exclude the solutions that do not make true.
Solve for x natural log of x+ natural log of x+1 = natural log of 6

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