ln(x+7)+ln(x-8)-lnx=9

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Solution for ln(x+7)+ln(x-8)-lnx=9 equation:


Simplifying
ln(x + 7) + ln(x + -8) + -1lnx = 9

Reorder the terms:
ln(7 + x) + ln(x + -8) + -1lnx = 9
(7 * ln + x * ln) + ln(x + -8) + -1lnx = 9
(7ln + lnx) + ln(x + -8) + -1lnx = 9

Reorder the terms:
7ln + lnx + ln(-8 + x) + -1lnx = 9
7ln + lnx + (-8 * ln + x * ln) + -1lnx = 9
7ln + lnx + (-8ln + lnx) + -1lnx = 9

Reorder the terms:
7ln + -8ln + lnx + lnx + -1lnx = 9

Combine like terms: 7ln + -8ln = -1ln
-1ln + lnx + lnx + -1lnx = 9

Combine like terms: lnx + lnx = 2lnx
-1ln + 2lnx + -1lnx = 9

Combine like terms: 2lnx + -1lnx = 1lnx
-1ln + 1lnx = 9

Solving
-1ln + 1lnx = 9

Solving for variable 'l'.

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

Reorder the terms:
-9 + -1ln + 1lnx = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -1ln + 1lnx = 0

The solution to this equation could not be determined.

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