6ln(5x+1)=18

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Solution for 6ln(5x+1)=18 equation:


Simplifying
6ln(5x + 1) = 18

Reorder the terms:
6ln(1 + 5x) = 18
(1 * 6ln + 5x * 6ln) = 18
(6ln + 30lnx) = 18

Solving
6ln + 30lnx = 18

Solving for variable 'l'.

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

Reorder the terms:
-18 + 6ln + 30lnx = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 6ln + 30lnx = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-3 + ln + 5lnx) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-3 + ln + 5lnx)' equal to zero and attempt to solve: Simplifying -3 + ln + 5lnx = 0 Solving -3 + ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + ln + 3 + 5lnx = 0 + 3 Reorder the terms: -3 + 3 + ln + 5lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + ln + 5lnx = 0 + 3 ln + 5lnx = 0 + 3 Combine like terms: 0 + 3 = 3 ln + 5lnx = 3 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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