4ln(5x+8)=16

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Solution for 4ln(5x+8)=16 equation:


Simplifying
4ln(5x + 8) = 16

Reorder the terms:
4ln(8 + 5x) = 16
(8 * 4ln + 5x * 4ln) = 16
(32ln + 20lnx) = 16

Solving
32ln + 20lnx = 16

Solving for variable 'l'.

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

Reorder the terms:
-16 + 32ln + 20lnx = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 32ln + 20lnx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + 8ln + 5lnx) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-4 + 8ln + 5lnx)' equal to zero and attempt to solve: Simplifying -4 + 8ln + 5lnx = 0 Solving -4 + 8ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 8ln + 4 + 5lnx = 0 + 4 Reorder the terms: -4 + 4 + 8ln + 5lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8ln + 5lnx = 0 + 4 8ln + 5lnx = 0 + 4 Combine like terms: 0 + 4 = 4 8ln + 5lnx = 4 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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