ln(x)=ln(3)+ln(x-3)

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Solution for ln(x)=ln(3)+ln(x-3) equation: 


Simplifying
ln(x) = ln(3) + ln(x + -3)

Multiply ln * x
lnx = ln(3) + ln(x + -3)

Reorder the terms for easier multiplication:
lnx = 3ln + ln(x + -3)

Reorder the terms:
lnx = 3ln + ln(-3 + x)
lnx = 3ln + (-3 * ln + x * ln)
lnx = 3ln + (-3ln + lnx)

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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