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

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


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

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

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

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

Combine like terms: -3ln + 1ln = -2ln
-2ln + lnx + 3lnx = 5

Combine like terms: lnx + 3lnx = 4lnx
-2ln + 4lnx = 5

Solving
-2ln + 4lnx = 5

Solving for variable 'l'.

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

Reorder the terms:
-5 + -2ln + 4lnx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -2ln + 4lnx = 0

The solution to this equation could not be determined.

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