ln(x-3)+ln(3x-1)=7

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Solution for ln(x-3)+ln(3x-1)=7 equation:


Simplifying
ln(x + -3) + ln(3x + -1) = 7

Reorder the terms:
ln(-3 + x) + ln(3x + -1) = 7
(-3 * ln + x * ln) + ln(3x + -1) = 7
(-3ln + lnx) + ln(3x + -1) = 7

Reorder the terms:
-3ln + lnx + ln(-1 + 3x) = 7
-3ln + lnx + (-1 * ln + 3x * ln) = 7
-3ln + lnx + (-1ln + 3lnx) = 7

Reorder the terms:
-3ln + -1ln + lnx + 3lnx = 7

Combine like terms: -3ln + -1ln = -4ln
-4ln + lnx + 3lnx = 7

Combine like terms: lnx + 3lnx = 4lnx
-4ln + 4lnx = 7

Solving
-4ln + 4lnx = 7

Solving for variable 'l'.

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

Reorder the terms:
-7 + -4ln + 4lnx = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -4ln + 4lnx = 0

The solution to this equation could not be determined.

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