ln(x+8)+(x-1)=2lnx

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Solution for ln(x+8)+(x-1)=2lnx equation:


Simplifying
ln(x + 8) + (x + -1) = 2lnx

Reorder the terms:
ln(8 + x) + (x + -1) = 2lnx
(8 * ln + x * ln) + (x + -1) = 2lnx
(8ln + lnx) + (x + -1) = 2lnx

Reorder the terms:
8ln + lnx + (-1 + x) = 2lnx

Remove parenthesis around (-1 + x)
8ln + lnx + -1 + x = 2lnx

Reorder the terms:
-1 + 8ln + lnx + x = 2lnx

Solving
-1 + 8ln + lnx + x = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
-1 + 8ln + lnx + -2lnx + x = 2lnx + -2lnx

Combine like terms: lnx + -2lnx = -1lnx
-1 + 8ln + -1lnx + x = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-1 + 8ln + -1lnx + x = 0

Add '1' to each side of the equation.
-1 + 8ln + -1lnx + 1 + x = 0 + 1

Reorder the terms:
-1 + 1 + 8ln + -1lnx + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8ln + -1lnx + x = 0 + 1
8ln + -1lnx + x = 0 + 1

Combine like terms: 0 + 1 = 1
8ln + -1lnx + x = 1

Add '-1x' to each side of the equation.
8ln + -1lnx + x + -1x = 1 + -1x

Combine like terms: x + -1x = 0
8ln + -1lnx + 0 = 1 + -1x
8ln + -1lnx = 1 + -1x

Reorder the terms:
-1 + 8ln + -1lnx + x = 1 + -1x + -1 + x

Reorder the terms:
-1 + 8ln + -1lnx + x = 1 + -1 + -1x + x

Combine like terms: 1 + -1 = 0
-1 + 8ln + -1lnx + x = 0 + -1x + x
-1 + 8ln + -1lnx + x = -1x + x

Combine like terms: -1x + x = 0
-1 + 8ln + -1lnx + x = 0

The solution to this equation could not be determined.

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