5x*ln(4)=ln(11)

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Solution for 5x*ln(4)=ln(11) equation:


Simplifying
5x * ln(4) = ln(11)

Reorder the terms for easier multiplication:
5 * 4x * ln = ln(11)

Multiply 5 * 4
20x * ln = ln(11)

Multiply x * ln
20lnx = ln(11)

Reorder the terms for easier multiplication:
20lnx = 11ln

Solving
20lnx = 11ln

Solving for variable 'l'.

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

Add '-11ln' to each side of the equation.
-11ln + 20lnx = 11ln + -11ln

Combine like terms: 11ln + -11ln = 0
-11ln + 20lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-11 + 20x) = 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 '(-11 + 20x)' equal to zero and attempt to solve: Simplifying -11 + 20x = 0 Solving -11 + 20x = 0 Move all terms containing l to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 20x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 20x = 0 + 11 20x = 0 + 11 Combine like terms: 0 + 11 = 11 20x = 11 Add '-20x' to each side of the equation. 20x + -20x = 11 + -20x Combine like terms: 20x + -20x = 0 0 = 11 + -20x Simplifying 0 = 11 + -20x 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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