-ln(100)=5ln(a)

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Solution for -ln(100)=5ln(a) equation:


Simplifying
-1ln(100) = 5ln(a)

Reorder the terms for easier multiplication:
-1 * 100ln = 5ln(a)

Multiply -1 * 100
-100ln = 5ln(a)

Multiply ln * a
-100ln = 5aln

Solving
-100ln = 5aln

Solving for variable 'l'.

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

Add '-5aln' to each side of the equation.
-5aln + -100ln = 5aln + -5aln

Combine like terms: 5aln + -5aln = 0
-5aln + -100ln = 0

Factor out the Greatest Common Factor (GCF), '-5ln'.
-5ln(a + 20) = 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 '(a + 20)' equal to zero and attempt to solve: Simplifying a + 20 = 0 Reorder the terms: 20 + a = 0 Solving 20 + a = 0 Move all terms containing l to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + a = 0 + -20 a = 0 + -20 Combine like terms: 0 + -20 = -20 a = -20 Add '-1a' to each side of the equation. a + -1a = -20 + -1a Combine like terms: a + -1a = 0 0 = -20 + -1a Simplifying 0 = -20 + -1a 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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