ln(x+1)+ln(x+2)=ln(18)

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Solution for ln(x+1)+ln(x+2)=ln(18) equation: 


Simplifying
ln(x + 1) + ln(x + 2) = ln(18)

Reorder the terms:
ln(1 + x) + ln(x + 2) = ln(18)
(1 * ln + x * ln) + ln(x + 2) = ln(18)
(1ln + lnx) + ln(x + 2) = ln(18)

Reorder the terms:
1ln + lnx + ln(2 + x) = ln(18)
1ln + lnx + (2 * ln + x * ln) = ln(18)
1ln + lnx + (2ln + lnx) = ln(18)

Reorder the terms:
1ln + 2ln + lnx + lnx = ln(18)

Combine like terms: 1ln + 2ln = 3ln
3ln + lnx + lnx = ln(18)

Combine like terms: lnx + lnx = 2lnx
3ln + 2lnx = ln(18)

Reorder the terms for easier multiplication:
3ln + 2lnx = 18ln

Solving
3ln + 2lnx = 18ln

Solving for variable 'l'.

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

Add '-18ln' to each side of the equation.
3ln + -18ln + 2lnx = 18ln + -18ln

Combine like terms: 3ln + -18ln = -15ln
-15ln + 2lnx = 18ln + -18ln

Combine like terms: 18ln + -18ln = 0
-15ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-15 + 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 '(-15 + 2x)' equal to zero and attempt to solve:

Simplifying
-15 + 2x = 0

Solving
-15 + 2x = 0

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

Add '15' to each side of the equation.
-15 + 15 + 2x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 0 + 15
2x = 0 + 15

Combine like terms: 0 + 15 = 15
2x = 15

Add '-2x' to each side of the equation.
2x + -2x = 15 + -2x

Combine like terms: 2x + -2x = 0
0 = 15 + -2x

Simplifying
0 = 15 + -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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