5ln(3x+4)=30

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Solution for 5ln(3x+4)=30 equation:


Simplifying
5ln(3x + 4) = 30

Reorder the terms:
5ln(4 + 3x) = 30
(4 * 5ln + 3x * 5ln) = 30
(20ln + 15lnx) = 30

Solving
20ln + 15lnx = 30

Solving for variable 'l'.

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

Reorder the terms:
-30 + 20ln + 15lnx = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 20ln + 15lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + 4ln + 3lnx) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-6 + 4ln + 3lnx)' equal to zero and attempt to solve: Simplifying -6 + 4ln + 3lnx = 0 Solving -6 + 4ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 4ln + 6 + 3lnx = 0 + 6 Reorder the terms: -6 + 6 + 4ln + 3lnx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4ln + 3lnx = 0 + 6 4ln + 3lnx = 0 + 6 Combine like terms: 0 + 6 = 6 4ln + 3lnx = 6 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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