ln(x+10)+ln(x-2)=2*ln(x)

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Solution for ln(x+10)+ln(x-2)=2*ln(x) equation:


Simplifying
ln(x + 10) + ln(x + -2) = 2ln(x)

Reorder the terms:
ln(10 + x) + ln(x + -2) = 2ln(x)
(10 * ln + x * ln) + ln(x + -2) = 2ln(x)
(10ln + lnx) + ln(x + -2) = 2ln(x)

Reorder the terms:
10ln + lnx + ln(-2 + x) = 2ln(x)
10ln + lnx + (-2 * ln + x * ln) = 2ln(x)
10ln + lnx + (-2ln + lnx) = 2ln(x)

Reorder the terms:
10ln + -2ln + lnx + lnx = 2ln(x)

Combine like terms: 10ln + -2ln = 8ln
8ln + lnx + lnx = 2ln(x)

Combine like terms: lnx + lnx = 2lnx
8ln + 2lnx = 2ln(x)

Multiply ln * x
8ln + 2lnx = 2lnx

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

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

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

Solving
8ln = 0

Solving for variable 'l'.

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

Divide each side by '8'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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