ln(x)+ln(x-1)=ln(56)

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Solution for ln(x)+ln(x-1)=ln(56) equation: 


Simplifying
ln(x) + ln(x + -1) = ln(56)

Multiply ln * x
lnx + ln(x + -1) = ln(56)

Reorder the terms:
lnx + ln(-1 + x) = ln(56)
lnx + (-1 * ln + x * ln) = ln(56)
lnx + (-1ln + lnx) = ln(56)

Reorder the terms:
-1ln + lnx + lnx = ln(56)

Combine like terms: lnx + lnx = 2lnx
-1ln + 2lnx = ln(56)

Reorder the terms for easier multiplication:
-1ln + 2lnx = 56ln

Solving
-1ln + 2lnx = 56ln

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-56ln' to each side of the equation.
-1ln + -56ln + 2lnx = 56ln + -56ln

Combine like terms: -1ln + -56ln = -57ln
-57ln + 2lnx = 56ln + -56ln

Combine like terms: 56ln + -56ln = 0
-57ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-57 + 2x) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

Move all terms containing l to the left, all other terms to the right.

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-57 + 2x)' equal to zero and attempt to solve:

Simplifying
-57 + 2x = 0

Solving
-57 + 2x = 0

Move all terms containing l to the left, all other terms to the right.

Add '57' to each side of the equation.
-57 + 57 + 2x = 0 + 57

Combine like terms: -57 + 57 = 0
0 + 2x = 0 + 57
2x = 0 + 57

Combine like terms: 0 + 57 = 57
2x = 57

Add '-2x' to each side of the equation.
2x + -2x = 57 + -2x

Combine like terms: 2x + -2x = 0
0 = 57 + -2x

Simplifying
0 = 57 + -2x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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