2ln(4x)=100+ln(2x)

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Solution for 2ln(4x)=100+ln(2x) equation: 


Simplifying
2ln(4x) = 100 + ln(2x)

Remove parenthesis around (4x)
2ln * 4x = 100 + ln(2x)

Reorder the terms for easier multiplication:
2 * 4ln * x = 100 + ln(2x)

Multiply 2 * 4
8ln * x = 100 + ln(2x)

Multiply ln * x
8lnx = 100 + ln(2x)

Remove parenthesis around (2x)
8lnx = 100 + ln * 2x

Reorder the terms for easier multiplication:
8lnx = 100 + 2ln * x

Multiply ln * x
8lnx = 100 + 2lnx

Solving
8lnx = 100 + 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
8lnx + -2lnx = 100 + 2lnx + -2lnx

Combine like terms: 8lnx + -2lnx = 6lnx
6lnx = 100 + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
6lnx = 100 + 0
6lnx = 100

Divide each side by '6nx'.
l = 16.66666667n-1x-1

Simplifying
l = 16.66666667n-1x-1

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