ln(x-6)+ln(x-4)=1

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Solution for ln(x-6)+ln(x-4)=1 equation:


Simplifying
ln(x + -6) + ln(x + -4) = 1

Reorder the terms:
ln(-6 + x) + ln(x + -4) = 1
(-6 * ln + x * ln) + ln(x + -4) = 1
(-6ln + lnx) + ln(x + -4) = 1

Reorder the terms:
-6ln + lnx + ln(-4 + x) = 1
-6ln + lnx + (-4 * ln + x * ln) = 1
-6ln + lnx + (-4ln + lnx) = 1

Reorder the terms:
-6ln + -4ln + lnx + lnx = 1

Combine like terms: -6ln + -4ln = -10ln
-10ln + lnx + lnx = 1

Combine like terms: lnx + lnx = 2lnx
-10ln + 2lnx = 1

Solving
-10ln + 2lnx = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + -10ln + 2lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -10ln + 2lnx = 0

The solution to this equation could not be determined.

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