ln(65)-ln(x)=ln(39)

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Solution for ln(65)-ln(x)=ln(39) equation:


Simplifying
ln(65) + -1ln(x) = ln(39)

Reorder the terms for easier multiplication:
65ln + -1ln(x) = ln(39)

Multiply ln * x
65ln + -1lnx = ln(39)

Reorder the terms for easier multiplication:
65ln + -1lnx = 39ln

Solving
65ln + -1lnx = 39ln

Solving for variable 'l'.

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

Add '-39ln' to each side of the equation.
65ln + -39ln + -1lnx = 39ln + -39ln

Combine like terms: 65ln + -39ln = 26ln
26ln + -1lnx = 39ln + -39ln

Combine like terms: 39ln + -39ln = 0
26ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(26 + -1x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(26 + -1x)' equal to zero and attempt to solve: Simplifying 26 + -1x = 0 Solving 26 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 0 + -26 -1x = 0 + -26 Combine like terms: 0 + -26 = -26 -1x = -26 Add 'x' to each side of the equation. -1x + x = -26 + x Combine like terms: -1x + x = 0 0 = -26 + x Simplifying 0 = -26 + x 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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