ln(3)+ln(2x+3)=ln(x*2)

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


Simplifying
ln(3) + ln(2x + 3) = ln(x * 2)

Reorder the terms for easier multiplication:
3ln + ln(2x + 3) = ln(x * 2)

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

Combine like terms: 3ln + 3ln = 6ln
6ln + 2lnx = ln(x * 2)

Reorder the terms for easier multiplication:
6ln + 2lnx = ln(2x)

Remove parenthesis around (2x)
6ln + 2lnx = ln * 2x

Reorder the terms for easier multiplication:
6ln + 2lnx = 2ln * x

Multiply ln * x
6ln + 2lnx = 2lnx

Add '-2lnx' to each side of the equation.
6ln + 2lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
6ln + 0 = 2lnx + -2lnx
6ln = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
6ln = 0

Solving
6ln = 0

Solving for variable 'l'.

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

Divide each side by '6'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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