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 = -6lnx
-6lnx = 8lnx + -8lnx

Combine like terms: 8lnx + -8lnx = 0
-6lnx = 0

Divide each side by '-6'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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