xln(25)=ln(2)

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Solution for xln(25)=ln(2) equation:


Simplifying
xln(25) = ln(2)

Reorder the terms for easier multiplication:
25lnx = ln(2)

Reorder the terms for easier multiplication:
25lnx = 2ln

Solving
25lnx = 2ln

Solving for variable 'l'.

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

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

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

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