6ln(4x)-1=14

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Solution for 6ln(4x)-1=14 equation:


Simplifying
6ln(4x) + -1 = 14

Remove parenthesis around (4x)
6ln * 4x + -1 = 14

Reorder the terms for easier multiplication:
6 * 4ln * x + -1 = 14

Multiply 6 * 4
24ln * x + -1 = 14

Multiply ln * x
24lnx + -1 = 14

Reorder the terms:
-1 + 24lnx = 14

Solving
-1 + 24lnx = 14

Solving for variable 'l'.

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

Add '1' to each side of the equation.
-1 + 1 + 24lnx = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 24lnx = 14 + 1
24lnx = 14 + 1

Combine like terms: 14 + 1 = 15
24lnx = 15

Divide each side by '24nx'.
l = 0.625n-1x-1

Simplifying
l = 0.625n-1x-1

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