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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: 4lnx + 8lnx = 12lnx
12lnx + 2lnx = 3

Combine like terms: 12lnx + 2lnx = 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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