ln(20)+ln(5)=2ln(x)

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Solution for ln(20)+ln(5)=2ln(x) equation:


Simplifying
ln(20) + ln(5) = 2ln(x)

Reorder the terms for easier multiplication:
20ln + ln(5) = 2ln(x)

Reorder the terms for easier multiplication:
20ln + 5ln = 2ln(x)

Combine like terms: 20ln + 5ln = 25ln
25ln = 2ln(x)

Multiply ln * x
25ln = 2lnx

Solving
25ln = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
25ln + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
25ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(25 + -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 '(25 + -2x)' equal to zero and attempt to solve: Simplifying 25 + -2x = 0 Solving 25 + -2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 0 + -25 -2x = 0 + -25 Combine like terms: 0 + -25 = -25 -2x = -25 Add '2x' to each side of the equation. -2x + 2x = -25 + 2x Combine like terms: -2x + 2x = 0 0 = -25 + 2x Simplifying 0 = -25 + 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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