2*ln(4)=ln(4)+ln(3-x)

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Solution for 2*ln(4)=ln(4)+ln(3-x) equation:


Simplifying
2ln(4) = ln(4) + ln(3 + -1x)

Reorder the terms for easier multiplication:
2 * 4ln = ln(4) + ln(3 + -1x)

Multiply 2 * 4
8ln = ln(4) + ln(3 + -1x)

Reorder the terms for easier multiplication:
8ln = 4ln + ln(3 + -1x)
8ln = 4ln + (3 * ln + -1x * ln)
8ln = 4ln + (3ln + -1lnx)

Combine like terms: 4ln + 3ln = 7ln
8ln = 7ln + -1lnx

Solving
8ln = 7ln + -1lnx

Solving for variable 'l'.

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

Add '-7ln' to each side of the equation.
8ln + -7ln = 7ln + -7ln + -1lnx

Combine like terms: 8ln + -7ln = 1ln
1ln = 7ln + -7ln + -1lnx

Combine like terms: 7ln + -7ln = 0
1ln = 0 + -1lnx
1ln = -1lnx

Add 'lnx' to each side of the equation.
1ln + lnx = -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
1ln + lnx = 0

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