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

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


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

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

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

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

Combine like terms: 5ln + -2ln = 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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