ln(x+10)+ln(x-5)=2lnx

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Solution for ln(x+10)+ln(x-5)=2lnx equation:


Simplifying
ln(x + 10) + ln(x + -5) = 2lnx

Reorder the terms:
ln(10 + x) + ln(x + -5) = 2lnx
(10 * ln + x * ln) + ln(x + -5) = 2lnx
(10ln + lnx) + ln(x + -5) = 2lnx

Reorder the terms:
10ln + lnx + ln(-5 + x) = 2lnx
10ln + lnx + (-5 * ln + x * ln) = 2lnx
10ln + lnx + (-5ln + lnx) = 2lnx

Reorder the terms:
10ln + -5ln + lnx + lnx = 2lnx

Combine like terms: 10ln + -5ln = 5ln
5ln + lnx + lnx = 2lnx

Combine like terms: lnx + lnx = 2lnx
5ln + 2lnx = 2lnx

Add '-2lnx' to each side of the equation.
5ln + 2lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
5ln + 0 = 2lnx + -2lnx
5ln = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
5ln = 0

Solving
5ln = 0

Solving for variable 'l'.

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

Divide each side by '5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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