ln(x)=ln(2)+ln(x-5)

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Solution for ln(x)=ln(2)+ln(x-5) equation:


Simplifying
ln(x) = ln(2) + ln(x + -5)

Multiply ln * x
lnx = ln(2) + ln(x + -5)

Reorder the terms for easier multiplication:
lnx = 2ln + ln(x + -5)

Reorder the terms:
lnx = 2ln + ln(-5 + x)
lnx = 2ln + (-5 * ln + x * ln)
lnx = 2ln + (-5ln + lnx)

Combine like terms: 2ln + -5ln = -3ln
lnx = -3ln + lnx

Add '-1lnx' to each side of the equation.
lnx + -1lnx = -3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 = -3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 = -3ln + 0
0 = -3ln

Solving
0 = -3ln

Solving for variable 'l'.

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

Add '3ln' to each side of the equation.
0 + 3ln = -3ln + 3ln
Remove the zero:
3ln = -3ln + 3ln

Combine like terms: -3ln + 3ln = 0
3ln = 0

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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