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

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


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

Remove parenthesis around (3x)
ln * 3x + ln(x + -1) = 5

Reorder the terms for easier multiplication:
3ln * x + ln(x + -1) = 5

Multiply ln * x
3lnx + ln(x + -1) = 5

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

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

Combine like terms: 3lnx + lnx = 4lnx
-1ln + 4lnx = 5

Solving
-1ln + 4lnx = 5

Solving for variable 'l'.

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

Reorder the terms:
-5 + -1ln + 4lnx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -1ln + 4lnx = 0

The solution to this equation could not be determined.

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