In(2)+2ln(5x)=4

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Solution for In(2)+2ln(5x)=4 equation: 


Simplifying
In(2) + 2ln(5x) = 4

Reorder the terms for easier multiplication:
2nI + 2ln(5x) = 4

Remove parenthesis around (5x)
2nI + 2ln * 5x = 4

Reorder the terms for easier multiplication:
2nI + 2 * 5ln * x = 4

Multiply 2 * 5
2nI + 10ln * x = 4

Multiply ln * x
2nI + 10lnx = 4

Reorder the terms:
10lnx + 2nI = 4

Solving
10lnx + 2nI = 4

Solving for variable 'l'.

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

Add '-2nI' to each side of the equation.
10lnx + 2nI + -2nI = 4 + -2nI

Combine like terms: 2nI + -2nI = 0
10lnx + 0 = 4 + -2nI
10lnx = 4 + -2nI

Divide each side by '10nx'.
l = 0.4n-1x-1 + -0.2x-1I

Simplifying
l = 0.4n-1x-1 + -0.2x-1I

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