ln(x-3)+ln(x+3)=ln(-8x)

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Solution for ln(x-3)+ln(x+3)=ln(-8x) equation:


Simplifying
ln(x + -3) + ln(x + 3) = ln(-8x)

Reorder the terms:
ln(-3 + x) + ln(x + 3) = ln(-8x)
(-3 * ln + x * ln) + ln(x + 3) = ln(-8x)
(-3ln + lnx) + ln(x + 3) = ln(-8x)

Reorder the terms:
-3ln + lnx + ln(3 + x) = ln(-8x)
-3ln + lnx + (3 * ln + x * ln) = ln(-8x)
-3ln + lnx + (3ln + lnx) = ln(-8x)

Reorder the terms:
-3ln + 3ln + lnx + lnx = ln(-8x)

Combine like terms: -3ln + 3ln = 0
0 + lnx + lnx = ln(-8x)
lnx + lnx = ln(-8x)

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

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

Reorder the terms for easier multiplication:
2lnx = -8ln * x

Multiply ln * x
2lnx = -8lnx

Solving
2lnx = -8lnx

Solving for variable 'l'.

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

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

Combine like terms: 2lnx + 8lnx = 10lnx
10lnx = -8lnx + 8lnx

Combine like terms: -8lnx + 8lnx = 0
10lnx = 0

Divide each side by '10'.
lnx = 0.0

Simplifying
lnx = 0.0

The solution to this equation could not be determined.

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