ln(4x)-ln(2x+9)=-1

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Solution for ln(4x)-ln(2x+9)=-1 equation:


Simplifying
ln(4x) + -1ln(2x + 9) = -1

Remove parenthesis around (4x)
ln * 4x + -1ln(2x + 9) = -1

Reorder the terms for easier multiplication:
4ln * x + -1ln(2x + 9) = -1

Multiply ln * x
4lnx + -1ln(2x + 9) = -1

Reorder the terms:
4lnx + -1ln(9 + 2x) = -1
4lnx + (9 * -1ln + 2x * -1ln) = -1
4lnx + (-9ln + -2lnx) = -1

Reorder the terms:
-9ln + 4lnx + -2lnx = -1

Combine like terms: 4lnx + -2lnx = 2lnx
-9ln + 2lnx = -1

Solving
-9ln + 2lnx = -1

Solving for variable 'l'.

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

Reorder the terms:
1 + -9ln + 2lnx = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -9ln + 2lnx = 0

The solution to this equation could not be determined.

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