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

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


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

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

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

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

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

Combine like terms: lnx + lnx = 2lnx
2lnx = 1

Solving
2lnx = 1

Solving for variable 'l'.

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

Divide each side by '2nx'.
l = 0.5n-1x-1

Simplifying
l = 0.5n-1x-1

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