ln(15350)=ln(215)n

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Solution for ln(15350)=ln(215)n equation: 


Simplifying
ln(15350) = ln(215) * n

Reorder the terms for easier multiplication:
15350ln = ln(215) * n

Reorder the terms for easier multiplication:
15350ln = 215ln * n

Multiply ln * n
15350ln = 215ln2

Solving
15350ln = 215ln2

Solving for variable 'l'.

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

Add '-215ln2' to each side of the equation.
15350ln + -215ln2 = 215ln2 + -215ln2

Combine like terms: 215ln2 + -215ln2 = 0
15350ln + -215ln2 = 0

Factor out the Greatest Common Factor (GCF), '5ln'.
5ln(3070 + -43n) = 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 '(3070 + -43n)' equal to zero and attempt to solve:

Simplifying
3070 + -43n = 0

Solving
3070 + -43n = 0

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

Add '-3070' to each side of the equation.
3070 + -3070 + -43n = 0 + -3070

Combine like terms: 3070 + -3070 = 0
0 + -43n = 0 + -3070
-43n = 0 + -3070

Combine like terms: 0 + -3070 = -3070
-43n = -3070

Add '43n' to each side of the equation.
-43n + 43n = -3070 + 43n

Combine like terms: -43n + 43n = 0
0 = -3070 + 43n

Simplifying
0 = -3070 + 43n

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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