1=2ln(x)+3ln(x+4)

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Solution for 1=2ln(x)+3ln(x+4) equation:


Simplifying
1 = 2ln(x) + 3ln(x + 4)

Multiply ln * x
1 = 2lnx + 3ln(x + 4)

Reorder the terms:
1 = 2lnx + 3ln(4 + x)
1 = 2lnx + (4 * 3ln + x * 3ln)
1 = 2lnx + (12ln + 3lnx)

Reorder the terms:
1 = 12ln + 2lnx + 3lnx

Combine like terms: 2lnx + 3lnx = 5lnx
1 = 12ln + 5lnx

Solving
1 = 12ln + 5lnx

Solving for variable 'l'.

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

Add '-12ln' to each side of the equation.
1 + -12ln = 12ln + -12ln + 5lnx

Combine like terms: 12ln + -12ln = 0
1 + -12ln = 0 + 5lnx
1 + -12ln = 5lnx

Add '-5lnx' to each side of the equation.
1 + -12ln + -5lnx = 5lnx + -5lnx

Combine like terms: 5lnx + -5lnx = 0
1 + -12ln + -5lnx = 0

Add '-1' to each side of the equation.
1 + -12ln + -1 + -5lnx = 0 + -1

Reorder the terms:
1 + -1 + -12ln + -5lnx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -12ln + -5lnx = 0 + -1
-12ln + -5lnx = 0 + -1

Combine like terms: 0 + -1 = -1
-12ln + -5lnx = -1

Reorder the terms:
1 + -12ln + -5lnx = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -12ln + -5lnx = 0

The solution to this equation could not be determined.

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