ln(x-10)(x-10)(x-10)(x-10)=10

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Solution for ln(x-10)(x-10)(x-10)(x-10)=10 equation: 


Simplifying
ln(x + -10)(x + -10)(x + -10)(x + -10) = 10

Reorder the terms:
ln(-10 + x)(x + -10)(x + -10)(x + -10) = 10

Reorder the terms:
ln(-10 + x)(-10 + x)(x + -10)(x + -10) = 10

Reorder the terms:
ln(-10 + x)(-10 + x)(-10 + x)(x + -10) = 10

Reorder the terms:
ln(-10 + x)(-10 + x)(-10 + x)(-10 + x) = 10

Multiply (-10 + x) * (-10 + x)
ln(-10(-10 + x) + x(-10 + x))(-10 + x)(-10 + x) = 10
ln((-10 * -10 + x * -10) + x(-10 + x))(-10 + x)(-10 + x) = 10
ln((100 + -10x) + x(-10 + x))(-10 + x)(-10 + x) = 10
ln(100 + -10x + (-10 * x + x * x))(-10 + x)(-10 + x) = 10
ln(100 + -10x + (-10x + x2))(-10 + x)(-10 + x) = 10

Combine like terms: -10x + -10x = -20x
ln(100 + -20x + x2)(-10 + x)(-10 + x) = 10

Multiply (100 + -20x + x2) * (-10 + x)
ln(100(-10 + x) + -20x * (-10 + x) + x2(-10 + x))(-10 + x) = 10
ln((-10 * 100 + x * 100) + -20x * (-10 + x) + x2(-10 + x))(-10 + x) = 10
ln((-1000 + 100x) + -20x * (-10 + x) + x2(-10 + x))(-10 + x) = 10
ln(-1000 + 100x + (-10 * -20x + x * -20x) + x2(-10 + x))(-10 + x) = 10
ln(-1000 + 100x + (200x + -20x2) + x2(-10 + x))(-10 + x) = 10
ln(-1000 + 100x + 200x + -20x2 + (-10 * x2 + x * x2))(-10 + x) = 10
ln(-1000 + 100x + 200x + -20x2 + (-10x2 + x3))(-10 + x) = 10

Combine like terms: 100x + 200x = 300x
ln(-1000 + 300x + -20x2 + -10x2 + x3)(-10 + x) = 10

Combine like terms: -20x2 + -10x2 = -30x2
ln(-1000 + 300x + -30x2 + x3)(-10 + x) = 10

Multiply (-1000 + 300x + -30x2 + x3) * (-10 + x)
ln(-1000(-10 + x) + 300x * (-10 + x) + -30x2 * (-10 + x) + x3(-10 + x)) = 10
ln((-10 * -1000 + x * -1000) + 300x * (-10 + x) + -30x2 * (-10 + x) + x3(-10 + x)) = 10
ln((10000 + -1000x) + 300x * (-10 + x) + -30x2 * (-10 + x) + x3(-10 + x)) = 10
ln(10000 + -1000x + (-10 * 300x + x * 300x) + -30x2 * (-10 + x) + x3(-10 + x)) = 10
ln(10000 + -1000x + (-3000x + 300x2) + -30x2 * (-10 + x) + x3(-10 + x)) = 10
ln(10000 + -1000x + -3000x + 300x2 + (-10 * -30x2 + x * -30x2) + x3(-10 + x)) = 10
ln(10000 + -1000x + -3000x + 300x2 + (300x2 + -30x3) + x3(-10 + x)) = 10
ln(10000 + -1000x + -3000x + 300x2 + 300x2 + -30x3 + (-10 * x3 + x * x3)) = 10
ln(10000 + -1000x + -3000x + 300x2 + 300x2 + -30x3 + (-10x3 + x4)) = 10

Combine like terms: -1000x + -3000x = -4000x
ln(10000 + -4000x + 300x2 + 300x2 + -30x3 + -10x3 + x4) = 10

Combine like terms: 300x2 + 300x2 = 600x2
ln(10000 + -4000x + 600x2 + -30x3 + -10x3 + x4) = 10

Combine like terms: -30x3 + -10x3 = -40x3
ln(10000 + -4000x + 600x2 + -40x3 + x4) = 10
(10000 * ln + -4000x * ln + 600x2 * ln + -40x3 * ln + x4 * ln) = 10
(10000ln + -4000lnx + 600lnx2 + -40lnx3 + lnx4) = 10

Solving
10000ln + -4000lnx + 600lnx2 + -40lnx3 + lnx4 = 10

Solving for variable 'l'.

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

Reorder the terms:
-10 + 10000ln + -4000lnx + 600lnx2 + -40lnx3 + lnx4 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 10000ln + -4000lnx + 600lnx2 + -40lnx3 + lnx4 = 0

The solution to this equation could not be determined.

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