ln(4x)+13x=39

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Solution for ln(4x)+13x=39 equation:


Simplifying
ln(4x) + 13x = 39

Remove parenthesis around (4x)
ln * 4x + 13x = 39

Reorder the terms for easier multiplication:
4ln * x + 13x = 39

Multiply ln * x
4lnx + 13x = 39

Solving
4lnx + 13x = 39

Solving for variable 'l'.

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

Add '-13x' to each side of the equation.
4lnx + 13x + -13x = 39 + -13x

Combine like terms: 13x + -13x = 0
4lnx + 0 = 39 + -13x
4lnx = 39 + -13x

Divide each side by '4nx'.
l = 9.75n-1x-1 + -3.25n-1

Simplifying
l = 9.75n-1x-1 + -3.25n-1

Reorder the terms:
l = -3.25n-1 + 9.75n-1x-1

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