ln(x-9)=ln(2x-9)

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


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

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

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

Add '9ln' to each side of the equation.
-9ln + 9ln + lnx = -9ln + 9ln + 2lnx

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

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

Solving
lnx = 2lnx

Solving for variable 'l'.

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

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

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

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

Divide each side by '-1'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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