Ln(x)+Ln(2x)+Ln(4x)=3

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


Simplifying
Ln(x) + Ln(2x) + Ln(4x) = 3

Multiply nL * x
nxL + Ln(2x) + Ln(4x) = 3

Remove parenthesis around (2x)
nxL + nL * 2x + Ln(4x) = 3

Reorder the terms for easier multiplication:
nxL + 2nL * x + Ln(4x) = 3

Multiply nL * x
nxL + 2nxL + Ln(4x) = 3

Remove parenthesis around (4x)
nxL + 2nxL + nL * 4x = 3

Reorder the terms for easier multiplication:
nxL + 2nxL + 4nL * x = 3

Multiply nL * x
nxL + 2nxL + 4nxL = 3

Combine like terms: nxL + 2nxL = 3nxL
3nxL + 4nxL = 3

Combine like terms: 3nxL + 4nxL = 7nxL
7nxL = 3

Solving
7nxL = 3

Solving for variable 'n'.

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

Divide each side by '7xL'.
n = 0.4285714286x-1L-1

Simplifying
n = 0.4285714286x-1L-1

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