0.5*ln((100-x)1.1+x)=0.5*ln((100-x)1.1+1.21x)

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Solution for 0.5*ln((100-x)1.1+x)=0.5*ln((100-x)1.1+1.21x) equation: 


Simplifying
0.5ln((100 + -1x) * 1.1 + x) = 0.5ln((100 + -1x) * 1.1 + 1.21x)

Reorder the terms for easier multiplication:
0.5ln(1.1(100 + -1x) + x) = 0.5ln((100 + -1x) * 1.1 + 1.21x)
0.5ln((100 * 1.1 + -1x * 1.1) + x) = 0.5ln((100 + -1x) * 1.1 + 1.21x)
0.5ln((110 + -1.1x) + x) = 0.5ln((100 + -1x) * 1.1 + 1.21x)

Combine like terms: -1.1x + x = -0.1x
0.5ln(110 + -0.1x) = 0.5ln((100 + -1x) * 1.1 + 1.21x)
(110 * 0.5ln + -0.1x * 0.5ln) = 0.5ln((100 + -1x) * 1.1 + 1.21x)
(55ln + -0.05lnx) = 0.5ln((100 + -1x) * 1.1 + 1.21x)

Reorder the terms for easier multiplication:
55ln + -0.05lnx = 0.5ln(1.1(100 + -1x) + 1.21x)
55ln + -0.05lnx = 0.5ln((100 * 1.1 + -1x * 1.1) + 1.21x)
55ln + -0.05lnx = 0.5ln((110 + -1.1x) + 1.21x)

Combine like terms: -1.1x + 1.21x = 0.11x
55ln + -0.05lnx = 0.5ln(110 + 0.11x)
55ln + -0.05lnx = (110 * 0.5ln + 0.11x * 0.5ln)
55ln + -0.05lnx = (55ln + 0.055lnx)

Add '-55ln' to each side of the equation.
55ln + -55ln + -0.05lnx = 55ln + -55ln + 0.055lnx

Combine like terms: 55ln + -55ln = 0
0 + -0.05lnx = 55ln + -55ln + 0.055lnx
-0.05lnx = 55ln + -55ln + 0.055lnx

Combine like terms: 55ln + -55ln = 0
-0.05lnx = 0 + 0.055lnx
-0.05lnx = 0.055lnx

Solving
-0.05lnx = 0.055lnx

Solving for variable 'l'.

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

Add '-0.055lnx' to each side of the equation.
-0.05lnx + -0.055lnx = 0.055lnx + -0.055lnx

Combine like terms: -0.05lnx + -0.055lnx = -0.105lnx
-0.105lnx = 0.055lnx + -0.055lnx

Combine like terms: 0.055lnx + -0.055lnx = 0.000
-0.105lnx = 0.000

Divide each side by '-0.105'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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