9ln(x-19)-4ln(x)=

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Solution for 9ln(x-19)-4ln(x)= equation:


Simplifying
9ln(x + -19) + -4ln(x) = 0

Reorder the terms:
9ln(-19 + x) + -4ln(x) = 0
(-19 * 9ln + x * 9ln) + -4ln(x) = 0
(-171ln + 9lnx) + -4ln(x) = 0

Multiply ln * x
-171ln + 9lnx + -4lnx = 0

Combine like terms: 9lnx + -4lnx = 5lnx
-171ln + 5lnx = 0

Solving
-171ln + 5lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-171 + 5x) = 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 '(-171 + 5x)' equal to zero and attempt to solve: Simplifying -171 + 5x = 0 Solving -171 + 5x = 0 Move all terms containing l to the left, all other terms to the right. Add '171' to each side of the equation. -171 + 171 + 5x = 0 + 171 Combine like terms: -171 + 171 = 0 0 + 5x = 0 + 171 5x = 0 + 171 Combine like terms: 0 + 171 = 171 5x = 171 Add '-5x' to each side of the equation. 5x + -5x = 171 + -5x Combine like terms: 5x + -5x = 0 0 = 171 + -5x Simplifying 0 = 171 + -5x 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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