5ln(5x-3)=10

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Solution for 5ln(5x-3)=10 equation:


Simplifying
5ln(5x + -3) = 10

Reorder the terms:
5ln(-3 + 5x) = 10
(-3 * 5ln + 5x * 5ln) = 10
(-15ln + 25lnx) = 10

Solving
-15ln + 25lnx = 10

Solving for variable 'l'.

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

Reorder the terms:
-10 + -15ln + 25lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -15ln + 25lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-2 + -3ln + 5lnx) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-2 + -3ln + 5lnx)' equal to zero and attempt to solve: Simplifying -2 + -3ln + 5lnx = 0 Solving -2 + -3ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3ln + 2 + 5lnx = 0 + 2 Reorder the terms: -2 + 2 + -3ln + 5lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3ln + 5lnx = 0 + 2 -3ln + 5lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -3ln + 5lnx = 2 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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