ln(x)+LN(x-2)=ln(7x)

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Solution for ln(x)+LN(x-2)=ln(7x) equation: 


Simplifying
ln(x) + LN(x + -2) = ln(7x)

Multiply ln * x
lnx + LN(x + -2) = ln(7x)

Reorder the terms:
lnx + LN(-2 + x) = ln(7x)
lnx + (-2 * LN + x * LN) = ln(7x)
lnx + (-2LN + xLN) = ln(7x)

Reorder the terms:
-2LN + lnx + xLN = ln(7x)

Remove parenthesis around (7x)
-2LN + lnx + xLN = ln * 7x

Reorder the terms for easier multiplication:
-2LN + lnx + xLN = 7ln * x

Multiply ln * x
-2LN + lnx + xLN = 7lnx

Solving
-2LN + lnx + xLN = 7lnx

Solving for variable 'L'.

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

Add '-1lnx' to each side of the equation.
-2LN + lnx + -1lnx + xLN = 7lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-2LN + 0 + xLN = 7lnx + -1lnx
-2LN + xLN = 7lnx + -1lnx

Combine like terms: 7lnx + -1lnx = 6lnx
-2LN + xLN = 6lnx

Reorder the terms:
-2LN + -6lnx + xLN = 6lnx + -6lnx

Combine like terms: 6lnx + -6lnx = 0
-2LN + -6lnx + xLN = 0

The solution to this equation could not be determined.

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