5ln(2x+8)=24

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Solution for 5ln(2x+8)=24 equation:


Simplifying
5ln(2x + 8) = 24

Reorder the terms:
5ln(8 + 2x) = 24
(8 * 5ln + 2x * 5ln) = 24
(40ln + 10lnx) = 24

Solving
40ln + 10lnx = 24

Solving for variable 'l'.

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

Reorder the terms:
-24 + 40ln + 10lnx = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 40ln + 10lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 20ln + 5lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-12 + 20ln + 5lnx)' equal to zero and attempt to solve: Simplifying -12 + 20ln + 5lnx = 0 Solving -12 + 20ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 20ln + 12 + 5lnx = 0 + 12 Reorder the terms: -12 + 12 + 20ln + 5lnx = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 20ln + 5lnx = 0 + 12 20ln + 5lnx = 0 + 12 Combine like terms: 0 + 12 = 12 20ln + 5lnx = 12 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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