ln(4x)-ln(8-x)=1

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Solution for ln(4x)-ln(8-x)=1 equation:


Simplifying
ln(4x) + -1ln(8 + -1x) = 1

Remove parenthesis around (4x)
ln * 4x + -1ln(8 + -1x) = 1

Reorder the terms for easier multiplication:
4ln * x + -1ln(8 + -1x) = 1

Multiply ln * x
4lnx + -1ln(8 + -1x) = 1
4lnx + (8 * -1ln + -1x * -1ln) = 1
4lnx + (-8ln + 1lnx) = 1

Reorder the terms:
-8ln + 4lnx + 1lnx = 1

Combine like terms: 4lnx + 1lnx = 5lnx
-8ln + 5lnx = 1

Solving
-8ln + 5lnx = 1

Solving for variable 'l'.

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

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

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

The solution to this equation could not be determined.

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