ln(x)+ln(x+2)=2

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


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

Multiply ln * x
lnx + ln(x + 2) = 2

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

Reorder the terms:
2ln + lnx + lnx = 2

Combine like terms: lnx + lnx = 2lnx
2ln + 2lnx = 2

Solving
2ln + 2lnx = 2

Solving for variable 'l'.

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

Reorder the terms:
-2 + 2ln + 2lnx = 2 + -2

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + ln + lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + ln + lnx)' equal to zero and attempt to solve: Simplifying -1 + ln + lnx = 0 Solving -1 + ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + ln + 1 + lnx = 0 + 1 Reorder the terms: -1 + 1 + ln + lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + ln + lnx = 0 + 1 ln + lnx = 0 + 1 Combine like terms: 0 + 1 = 1 ln + lnx = 1 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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