ln(x)-ln(x-6)=3

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Solution for ln(x)-ln(x-6)=3 equation:


Simplifying
ln(x) + -1ln(x + -6) = 3

Multiply ln * x
lnx + -1ln(x + -6) = 3

Reorder the terms:
lnx + -1ln(-6 + x) = 3
lnx + (-6 * -1ln + x * -1ln) = 3
lnx + (6ln + -1lnx) = 3

Reorder the terms:
6ln + lnx + -1lnx = 3

Combine like terms: lnx + -1lnx = 0
6ln + 0 = 3
6ln = 3

Solving
6ln = 3

Solving for variable 'l'.

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

Divide each side by '6n'.
l = 0.5n-1

Simplifying
l = 0.5n-1

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