3ln(8x+5)+3=24

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Solution for 3ln(8x+5)+3=24 equation:


Simplifying
3ln(8x + 5) + 3 = 24

Reorder the terms:
3ln(5 + 8x) + 3 = 24
(5 * 3ln + 8x * 3ln) + 3 = 24
(15ln + 24lnx) + 3 = 24

Reorder the terms:
3 + 15ln + 24lnx = 24

Solving
3 + 15ln + 24lnx = 24

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 + 15ln + -3 + 24lnx = 24 + -3

Reorder the terms:
3 + -3 + 15ln + 24lnx = 24 + -3

Combine like terms: 3 + -3 = 0
0 + 15ln + 24lnx = 24 + -3
15ln + 24lnx = 24 + -3

Combine like terms: 24 + -3 = 21
15ln + 24lnx = 21

Reorder the terms:
-21 + 15ln + 24lnx = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + 15ln + 24lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + 5ln + 8lnx) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-7 + 5ln + 8lnx)' equal to zero and attempt to solve: Simplifying -7 + 5ln + 8lnx = 0 Solving -7 + 5ln + 8lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 5ln + 7 + 8lnx = 0 + 7 Reorder the terms: -7 + 7 + 5ln + 8lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5ln + 8lnx = 0 + 7 5ln + 8lnx = 0 + 7 Combine like terms: 0 + 7 = 7 5ln + 8lnx = 7 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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