ln(3x-15)-3=0

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Solution for ln(3x-15)-3=0 equation:


Simplifying
ln(3x + -15) + -3 = 0

Reorder the terms:
ln(-15 + 3x) + -3 = 0
(-15 * ln + 3x * ln) + -3 = 0
(-15ln + 3lnx) + -3 = 0

Reorder the terms:
-3 + -15ln + 3lnx = 0

Solving
-3 + -15ln + 3lnx = 0

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 + 3lnx = 0 + 3

Reorder the terms:
-3 + 3 + -15ln + 3lnx = 0 + 3

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

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

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -5ln + lnx) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -5ln + lnx)' equal to zero and attempt to solve: Simplifying -1 + -5ln + lnx = 0 Solving -1 + -5ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -5ln + 1 + lnx = 0 + 1 Reorder the terms: -1 + 1 + -5ln + lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5ln + lnx = 0 + 1 -5ln + lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -5ln + lnx = 1 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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