ln(5x-5)=5

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Solution for ln(5x-5)=5 equation:


Simplifying
ln(5x + -5) = 5

Reorder the terms:
ln(-5 + 5x) = 5
(-5 * ln + 5x * ln) = 5
(-5ln + 5lnx) = 5

Solving
-5ln + 5lnx = 5

Solving for variable 'l'.

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

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

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

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

Ignore the factor 5.

Subproblem 1

Set the factor '(-1 + -1ln + lnx)' equal to zero and attempt to solve: Simplifying -1 + -1ln + lnx = 0 Solving -1 + -1ln + 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 + -1ln + 1 + lnx = 0 + 1 Reorder the terms: -1 + 1 + -1ln + lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1ln + lnx = 0 + 1 -1ln + lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -1ln + 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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