2ln(5x-1)=28

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Solution for 2ln(5x-1)=28 equation:


Simplifying
2ln(5x + -1) = 28

Reorder the terms:
2ln(-1 + 5x) = 28
(-1 * 2ln + 5x * 2ln) = 28
(-2ln + 10lnx) = 28

Solving
-2ln + 10lnx = 28

Solving for variable 'l'.

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

Reorder the terms:
-28 + -2ln + 10lnx = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + -2ln + 10lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + -1ln + 5lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-14 + -1ln + 5lnx)' equal to zero and attempt to solve: Simplifying -14 + -1ln + 5lnx = 0 Solving -14 + -1ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -1ln + 14 + 5lnx = 0 + 14 Reorder the terms: -14 + 14 + -1ln + 5lnx = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1ln + 5lnx = 0 + 14 -1ln + 5lnx = 0 + 14 Combine like terms: 0 + 14 = 14 -1ln + 5lnx = 14 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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