ln(x+7)+ln(x-7)=1

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Solution for ln(x+7)+ln(x-7)=1 equation:


Simplifying
ln(x + 7) + ln(x + -7) = 1

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

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

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

Combine like terms: 7ln + -7ln = 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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