ln(2x-1)-lnx+ln(x+3)=1

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Solution for ln(2x-1)-lnx+ln(x+3)=1 equation:


Simplifying
ln(2x + -1) + -1lnx + ln(x + 3) = 1

Reorder the terms:
ln(-1 + 2x) + -1lnx + ln(x + 3) = 1
(-1 * ln + 2x * ln) + -1lnx + ln(x + 3) = 1
(-1ln + 2lnx) + -1lnx + ln(x + 3) = 1

Reorder the terms:
-1ln + 2lnx + -1lnx + ln(3 + x) = 1
-1ln + 2lnx + -1lnx + (3 * ln + x * ln) = 1
-1ln + 2lnx + -1lnx + (3ln + lnx) = 1

Reorder the terms:
-1ln + 3ln + 2lnx + -1lnx + lnx = 1

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

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

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

Solving
2ln + 2lnx = 1

Solving for variable 'l'.

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

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

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

The solution to this equation could not be determined.

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