ln(x-5)+ln(x-3)=1

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Solution for ln(x-5)+ln(x-3)=1 equation:


Simplifying
ln(x + -5) + ln(x + -3) = 1

Reorder the terms:
ln(-5 + x) + ln(x + -3) = 1
(-5 * ln + x * ln) + ln(x + -3) = 1
(-5ln + lnx) + ln(x + -3) = 1

Reorder the terms:
-5ln + lnx + ln(-3 + x) = 1
-5ln + lnx + (-3 * ln + x * ln) = 1
-5ln + lnx + (-3ln + lnx) = 1

Reorder the terms:
-5ln + -3ln + lnx + lnx = 1

Combine like terms: -5ln + -3ln = -8ln
-8ln + lnx + lnx = 1

Combine like terms: lnx + lnx = 2lnx
-8ln + 2lnx = 1

Solving
-8ln + 2lnx = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + -8ln + 2lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -8ln + 2lnx = 0

The solution to this equation could not be determined.

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