ln(5x-4)=ln(26)

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Solution for ln(5x-4)=ln(26) equation:


Simplifying
ln(5x + -4) = ln(26)

Reorder the terms:
ln(-4 + 5x) = ln(26)
(-4 * ln + 5x * ln) = ln(26)
(-4ln + 5lnx) = ln(26)

Reorder the terms for easier multiplication:
-4ln + 5lnx = 26ln

Solving
-4ln + 5lnx = 26ln

Solving for variable 'l'.

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

Add '-26ln' to each side of the equation.
-4ln + -26ln + 5lnx = 26ln + -26ln

Combine like terms: -4ln + -26ln = -30ln
-30ln + 5lnx = 26ln + -26ln

Combine like terms: 26ln + -26ln = 0
-30ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), '5ln'.
5ln(-6 + x) = 0

Ignore the factor 5.

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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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