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

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


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

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

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

Reorder the terms for easier multiplication:
lnx = -4ln + lnx + 2ln

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

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