5ln(x+4)-17=8

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Solution for 5ln(x+4)-17=8 equation:


Simplifying
5ln(x + 4) + -17 = 8

Reorder the terms:
5ln(4 + x) + -17 = 8
(4 * 5ln + x * 5ln) + -17 = 8
(20ln + 5lnx) + -17 = 8

Reorder the terms:
-17 + 20ln + 5lnx = 8

Solving
-17 + 20ln + 5lnx = 8

Solving for variable 'l'.

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

Add '17' to each side of the equation.
-17 + 20ln + 17 + 5lnx = 8 + 17

Reorder the terms:
-17 + 17 + 20ln + 5lnx = 8 + 17

Combine like terms: -17 + 17 = 0
0 + 20ln + 5lnx = 8 + 17
20ln + 5lnx = 8 + 17

Combine like terms: 8 + 17 = 25
20ln + 5lnx = 25

Reorder the terms:
-25 + 20ln + 5lnx = 25 + -25

Combine like terms: 25 + -25 = 0
-25 + 20ln + 5lnx = 0

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

Ignore the factor 5.

Subproblem 1

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