9ln(x+3)-8ln(x)=0

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Solution for 9ln(x+3)-8ln(x)=0 equation:


Simplifying
9ln(x + 3) + -8ln(x) = 0

Reorder the terms:
9ln(3 + x) + -8ln(x) = 0
(3 * 9ln + x * 9ln) + -8ln(x) = 0
(27ln + 9lnx) + -8ln(x) = 0

Multiply ln * x
27ln + 9lnx + -8lnx = 0

Combine like terms: 9lnx + -8lnx = 1lnx
27ln + 1lnx = 0

Solving
27ln + 1lnx = 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(27 + 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 '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Add '-1x' to each side of the equation. x + -1x = -27 + -1x Combine like terms: x + -1x = 0 0 = -27 + -1x Simplifying 0 = -27 + -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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