5ln(x+5)-3ln(x)=

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Solution for 5ln(x+5)-3ln(x)= equation:


Simplifying
5ln(x + 5) + -3ln(x) = 0

Reorder the terms:
5ln(5 + x) + -3ln(x) = 0
(5 * 5ln + x * 5ln) + -3ln(x) = 0
(25ln + 5lnx) + -3ln(x) = 0

Multiply ln * x
25ln + 5lnx + -3lnx = 0

Combine like terms: 5lnx + -3lnx = 2lnx
25ln + 2lnx = 0

Solving
25ln + 2lnx = 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(25 + 2x) = 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 '(25 + 2x)' equal to zero and attempt to solve: Simplifying 25 + 2x = 0 Solving 25 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 0 + -25 2x = 0 + -25 Combine like terms: 0 + -25 = -25 2x = -25 Add '-2x' to each side of the equation. 2x + -2x = -25 + -2x Combine like terms: 2x + -2x = 0 0 = -25 + -2x Simplifying 0 = -25 + -2x 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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