2x(ln(5x))=8

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Solution for 2x(ln(5x))=8 equation:


Simplifying
2x(ln(5x)) = 8

Remove parenthesis around (5x)
2x(ln * 5x) = 8

Reorder the terms for easier multiplication:
2x(5ln * x) = 8

Multiply ln * x
2x(5lnx) = 8

Remove parenthesis around (5lnx)
2x * 5lnx = 8

Reorder the terms for easier multiplication:
2 * 5x * lnx = 8

Multiply 2 * 5
10x * lnx = 8

Multiply x * lnx
10lnx2 = 8

Solving
10lnx2 = 8

Solving for variable 'l'.

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

Divide each side by '10nx2'.
l = 0.8n-1x-2

Simplifying
l = 0.8n-1x-2

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