5lnx+3lnx-10x-6=0

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Solution for 5lnx+3lnx-10x-6=0 equation:


Simplifying
5lnx + 3lnx + -10x + -6 = 0

Reorder the terms:
-6 + 5lnx + 3lnx + -10x = 0

Combine like terms: 5lnx + 3lnx = 8lnx
-6 + 8lnx + -10x = 0

Solving
-6 + 8lnx + -10x = 0

Solving for variable 'l'.

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

Add '6' to each side of the equation.
-6 + 8lnx + 6 + -10x = 0 + 6

Reorder the terms:
-6 + 6 + 8lnx + -10x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 8lnx + -10x = 0 + 6
8lnx + -10x = 0 + 6

Combine like terms: 0 + 6 = 6
8lnx + -10x = 6

Add '10x' to each side of the equation.
8lnx + -10x + 10x = 6 + 10x

Combine like terms: -10x + 10x = 0
8lnx + 0 = 6 + 10x
8lnx = 6 + 10x

Divide each side by '8nx'.
l = 0.75n-1x-1 + 1.25n-1

Simplifying
l = 0.75n-1x-1 + 1.25n-1

Reorder the terms:
l = 1.25n-1 + 0.75n-1x-1

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