7ln(x+3)-5ln(x)=

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Solution for 7ln(x+3)-5ln(x)= equation:


Simplifying
7ln(x + 3) + -5ln(x) = 0

Reorder the terms:
7ln(3 + x) + -5ln(x) = 0
(3 * 7ln + x * 7ln) + -5ln(x) = 0
(21ln + 7lnx) + -5ln(x) = 0

Multiply ln * x
21ln + 7lnx + -5lnx = 0

Combine like terms: 7lnx + -5lnx = 2lnx
21ln + 2lnx = 0

Solving
21ln + 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(21 + 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 '(21 + 2x)' equal to zero and attempt to solve: Simplifying 21 + 2x = 0 Solving 21 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 0 + -21 2x = 0 + -21 Combine like terms: 0 + -21 = -21 2x = -21 Add '-2x' to each side of the equation. 2x + -2x = -21 + -2x Combine like terms: 2x + -2x = 0 0 = -21 + -2x Simplifying 0 = -21 + -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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