ln(4*x)+ln(8*x)+ln(128*x)=-6

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Solution for ln(4*x)+ln(8*x)+ln(128*x)=-6 equation: 


Simplifying
ln(4x) + ln(8x) + ln(128x) = -6

Remove parenthesis around (4x)
ln * 4x + ln(8x) + ln(128x) = -6

Reorder the terms for easier multiplication:
4ln * x + ln(8x) + ln(128x) = -6

Multiply ln * x
4lnx + ln(8x) + ln(128x) = -6

Remove parenthesis around (8x)
4lnx + ln * 8x + ln(128x) = -6

Reorder the terms for easier multiplication:
4lnx + 8ln * x + ln(128x) = -6

Multiply ln * x
4lnx + 8lnx + ln(128x) = -6

Remove parenthesis around (128x)
4lnx + 8lnx + ln * 128x = -6

Reorder the terms for easier multiplication:
4lnx + 8lnx + 128ln * x = -6

Multiply ln * x
4lnx + 8lnx + 128lnx = -6

Combine like terms: 4lnx + 8lnx = 12lnx
12lnx + 128lnx = -6

Combine like terms: 12lnx + 128lnx = 140lnx
140lnx = -6

Solving
140lnx = -6

Solving for variable 'l'.

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

Divide each side by '140nx'.
l = -0.04285714286n-1x-1

Simplifying
l = -0.04285714286n-1x-1

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