xln(8x)-x=5

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Solution for xln(8x)-x=5 equation:


Simplifying
xln(8x) + -1x = 5

Remove parenthesis around (8x)
lnx * 8x + -1x = 5

Reorder the terms for easier multiplication:
8lnx * x + -1x = 5

Multiply lnx * x
8lnx2 + -1x = 5

Solving
8lnx2 + -1x = 5

Solving for variable 'l'.

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

Add 'x' to each side of the equation.
8lnx2 + -1x + x = 5 + x

Combine like terms: -1x + x = 0
8lnx2 + 0 = 5 + x
8lnx2 = 5 + x

Divide each side by '8nx2'.
l = 0.625n-1x-2 + 0.125n-1x-1

Simplifying
l = 0.625n-1x-2 + 0.125n-1x-1

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