0.5ln(x+19)+0.5ln(x-17)=ln(x)

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Solution for 0.5ln(x+19)+0.5ln(x-17)=ln(x) equation:


Simplifying
0.5ln(x + 19) + 0.5ln(x + -17) = ln(x)

Reorder the terms:
0.5ln(19 + x) + 0.5ln(x + -17) = ln(x)
(19 * 0.5ln + x * 0.5ln) + 0.5ln(x + -17) = ln(x)
(9.5ln + 0.5lnx) + 0.5ln(x + -17) = ln(x)

Reorder the terms:
9.5ln + 0.5lnx + 0.5ln(-17 + x) = ln(x)
9.5ln + 0.5lnx + (-17 * 0.5ln + x * 0.5ln) = ln(x)
9.5ln + 0.5lnx + (-8.5ln + 0.5lnx) = ln(x)

Reorder the terms:
9.5ln + -8.5ln + 0.5lnx + 0.5lnx = ln(x)

Combine like terms: 9.5ln + -8.5ln = 1ln
1ln + 0.5lnx + 0.5lnx = ln(x)

Combine like terms: 0.5lnx + 0.5lnx = 1lnx
1ln + 1lnx = ln(x)

Multiply ln * x
1ln + 1lnx = lnx

Solving
1ln + 1lnx = lnx

Solving for variable 'l'.

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

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

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

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

Divide each side by '1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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