ln*(x-6)+ln*4=ln*(16)

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Solution for ln*(x-6)+ln*4=ln*(16) equation:


Simplifying
ln(x + -6) + ln * 4 = ln(16)

Reorder the terms:
ln(-6 + x) + ln * 4 = ln(16)
(-6 * ln + x * ln) + ln * 4 = ln(16)
(-6ln + lnx) + ln * 4 = ln(16)

Reorder the terms for easier multiplication:
-6ln + lnx + 4ln = ln(16)

Reorder the terms:
-6ln + 4ln + lnx = ln(16)

Combine like terms: -6ln + 4ln = -2ln
-2ln + lnx = ln(16)

Reorder the terms for easier multiplication:
-2ln + lnx = 16ln

Solving
-2ln + lnx = 16ln

Solving for variable 'l'.

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

Add '-16ln' to each side of the equation.
-2ln + -16ln + lnx = 16ln + -16ln

Combine like terms: -2ln + -16ln = -18ln
-18ln + lnx = 16ln + -16ln

Combine like terms: 16ln + -16ln = 0
-18ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-18 + x) = 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 '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Add '-1x' to each side of the equation. x + -1x = 18 + -1x Combine like terms: x + -1x = 0 0 = 18 + -1x Simplifying 0 = 18 + -1x 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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