2ln(x+5)=-2

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Solution for 2ln(x+5)=-2 equation:


Simplifying
2ln(x + 5) = -2

Reorder the terms:
2ln(5 + x) = -2
(5 * 2ln + x * 2ln) = -2
(10ln + 2lnx) = -2

Solving
10ln + 2lnx = -2

Solving for variable 'l'.

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

Reorder the terms:
2 + 10ln + 2lnx = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 10ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 5ln + lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + 5ln + lnx)' equal to zero and attempt to solve: Simplifying 1 + 5ln + lnx = 0 Solving 1 + 5ln + 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 + 5ln + -1 + lnx = 0 + -1 Reorder the terms: 1 + -1 + 5ln + lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5ln + lnx = 0 + -1 5ln + lnx = 0 + -1 Combine like terms: 0 + -1 = -1 5ln + 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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