ln(2x)+ln(4x)+ln(8x)=-3

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Solution for ln(2x)+ln(4x)+ln(8x)=-3 equation: 


Simplifying
ln(2x) + ln(4x) + ln(8x) = -3

Remove parenthesis around (2x)
ln * 2x + ln(4x) + ln(8x) = -3

Reorder the terms for easier multiplication:
2ln * x + ln(4x) + ln(8x) = -3

Multiply ln * x
2lnx + ln(4x) + ln(8x) = -3

Remove parenthesis around (4x)
2lnx + ln * 4x + ln(8x) = -3

Reorder the terms for easier multiplication:
2lnx + 4ln * x + ln(8x) = -3

Multiply ln * x
2lnx + 4lnx + ln(8x) = -3

Remove parenthesis around (8x)
2lnx + 4lnx + ln * 8x = -3

Reorder the terms for easier multiplication:
2lnx + 4lnx + 8ln * x = -3

Multiply ln * x
2lnx + 4lnx + 8lnx = -3

Combine like terms: 2lnx + 4lnx = 6lnx
6lnx + 8lnx = -3

Combine like terms: 6lnx + 8lnx = 14lnx
14lnx = -3

Solving
14lnx = -3

Solving for variable 'l'.

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

Divide each side by '14nx'.
l = -0.2142857143n-1x-1

Simplifying
l = -0.2142857143n-1x-1

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