ln(x)=ln(x-4)+ln(6)

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Solution for ln(x)=ln(x-4)+ln(6) equation:


Simplifying
ln(x) = ln(x + -4) + ln(6)

Multiply ln * x
lnx = ln(x + -4) + ln(6)

Reorder the terms:
lnx = ln(-4 + x) + ln(6)
lnx = (-4 * ln + x * ln) + ln(6)
lnx = (-4ln + lnx) + ln(6)

Reorder the terms for easier multiplication:
lnx = -4ln + lnx + 6ln

Reorder the terms:
lnx = -4ln + 6ln + lnx

Combine like terms: -4ln + 6ln = 2ln
lnx = 2ln + lnx

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

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

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

Solving
0 = 2ln

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
0 + -2ln = 2ln + -2ln
Remove the zero:
-2ln = 2ln + -2ln

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

Divide each side by '-2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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