ln(2x+3)=1+lnx

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


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

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

Solving
3ln + 2lnx = 1 + lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
3ln + 2lnx + -1lnx = 1 + lnx + -1lnx

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

Combine like terms: lnx + -1lnx = 0
3ln + 1lnx = 1 + 0
3ln + 1lnx = 1

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

Combine like terms: 1 + -1 = 0
-1 + 3ln + 1lnx = 0

The solution to this equation could not be determined.

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