ln(x)-ln(x-8)=5

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Solution for ln(x)-ln(x-8)=5 equation: 


Simplifying
ln(x) + -1ln(x + -8) = 5

Multiply ln * x
lnx + -1ln(x + -8) = 5

Reorder the terms:
lnx + -1ln(-8 + x) = 5
lnx + (-8 * -1ln + x * -1ln) = 5
lnx + (8ln + -1lnx) = 5

Reorder the terms:
8ln + lnx + -1lnx = 5

Combine like terms: lnx + -1lnx = 0
8ln + 0 = 5
8ln = 5

Solving
8ln = 5

Solving for variable 'l'.

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

Divide each side by '8n'.
l = 0.625n-1

Simplifying
l = 0.625n-1

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