3+2ln(x+1)=7

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Solution for 3+2ln(x+1)=7 equation:


Simplifying
3 + 2ln(x + 1) = 7

Reorder the terms:
3 + 2ln(1 + x) = 7
3 + (1 * 2ln + x * 2ln) = 7
3 + (2ln + 2lnx) = 7

Solving
3 + 2ln + 2lnx = 7

Solving for variable 'l'.

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

Add '-3' to each side of the equation.
3 + 2ln + -3 + 2lnx = 7 + -3

Reorder the terms:
3 + -3 + 2ln + 2lnx = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 2ln + 2lnx = 7 + -3
2ln + 2lnx = 7 + -3

Combine like terms: 7 + -3 = 4
2ln + 2lnx = 4

Reorder the terms:
-4 + 2ln + 2lnx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 2ln + 2lnx = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + ln + lnx)' equal to zero and attempt to solve: Simplifying -2 + ln + lnx = 0 Solving -2 + ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + ln + 2 + lnx = 0 + 2 Reorder the terms: -2 + 2 + ln + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + ln + lnx = 0 + 2 ln + lnx = 0 + 2 Combine like terms: 0 + 2 = 2 ln + lnx = 2 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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