ln(10-5n)+6=6

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Solution for ln(10-5n)+6=6 equation: 


Simplifying
ln(10 + -5n) + 6 = 6
(10 * ln + -5n * ln) + 6 = 6
(10ln + -5ln2) + 6 = 6

Reorder the terms:
6 + 10ln + -5ln2 = 6

Add '-6' to each side of the equation.
6 + 10ln + -6 + -5ln2 = 6 + -6

Reorder the terms:
6 + -6 + 10ln + -5ln2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 10ln + -5ln2 = 6 + -6
10ln + -5ln2 = 6 + -6

Combine like terms: 6 + -6 = 0
10ln + -5ln2 = 0

Solving
10ln + -5ln2 = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '5ln'.
5ln(2 + -1n) = 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 '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 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 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Add 'n' to each side of the equation.
-1n + n = -2 + n

Combine like terms: -1n + n = 0
0 = -2 + n

Simplifying
0 = -2 + n

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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