xln(2)=ln(22)-ln(10)+4ln(2)

Simple and best practice solution for xln(2)=ln(22)-ln(10)+4ln(2) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Solution for xln(2)=ln(22)-ln(10)+4ln(2) equation:


Simplifying
xln(2) = ln(22) + -1ln(10) + 4ln(2)

Reorder the terms for easier multiplication:
2lnx = ln(22) + -1ln(10) + 4ln(2)

Reorder the terms for easier multiplication:
2lnx = 22ln + -1ln(10) + 4ln(2)

Reorder the terms for easier multiplication:
2lnx = 22ln + -1 * 10ln + 4ln(2)

Multiply -1 * 10
2lnx = 22ln + -10ln + 4ln(2)

Reorder the terms for easier multiplication:
2lnx = 22ln + -10ln + 4 * 2ln

Multiply 4 * 2
2lnx = 22ln + -10ln + 8ln

Combine like terms: 22ln + -10ln = 12ln
2lnx = 12ln + 8ln

Combine like terms: 12ln + 8ln = 20ln
2lnx = 20ln

Solving
2lnx = 20ln

Solving for variable 'l'.

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

Add '-20ln' to each side of the equation.
-20ln + 2lnx = 20ln + -20ln

Combine like terms: 20ln + -20ln = 0
-20ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-10 + x) = 0

Ignore the factor 2.

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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Add '-1x' to each side of the equation. x + -1x = 10 + -1x Combine like terms: x + -1x = 0 0 = 10 + -1x Simplifying 0 = 10 + -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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