ln(x-3)+ln(3x+1)=9

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Solution for ln(x-3)+ln(3x+1)=9 equation:


Simplifying
ln(x + -3) + ln(3x + 1) = 9

Reorder the terms:
ln(-3 + x) + ln(3x + 1) = 9
(-3 * ln + x * ln) + ln(3x + 1) = 9
(-3ln + lnx) + ln(3x + 1) = 9

Reorder the terms:
-3ln + lnx + ln(1 + 3x) = 9
-3ln + lnx + (1 * ln + 3x * ln) = 9
-3ln + lnx + (1ln + 3lnx) = 9

Reorder the terms:
-3ln + 1ln + lnx + 3lnx = 9

Combine like terms: -3ln + 1ln = -2ln
-2ln + lnx + 3lnx = 9

Combine like terms: lnx + 3lnx = 4lnx
-2ln + 4lnx = 9

Solving
-2ln + 4lnx = 9

Solving for variable 'l'.

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

Reorder the terms:
-9 + -2ln + 4lnx = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -2ln + 4lnx = 0

The solution to this equation could not be determined.

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