20=6ln(1.8)(1.8x)

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Solution for 20=6ln(1.8)(1.8x) equation:


Simplifying
20 = 6ln(1.8)(1.8x)

Remove parenthesis around (1.8x)
20 = 6ln * 1.8 * 1.8x

Reorder the terms for easier multiplication:
20 = 6 * 1.8 * 1.8ln * x

Multiply 6 * 1.8
20 = 10.8 * 1.8ln * x

Multiply 10.8 * 1.8
20 = 19.44ln * x

Multiply ln * x
20 = 19.44lnx

Solving
20 = 19.44lnx

Solving for variable 'l'.

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

Add '-19.44lnx' to each side of the equation.
20 + -19.44lnx = 19.44lnx + -19.44lnx

Combine like terms: 19.44lnx + -19.44lnx = 0.00
20 + -19.44lnx = 0.00

Add '-20' to each side of the equation.
20 + -20 + -19.44lnx = 0.00 + -20

Combine like terms: 20 + -20 = 0
0 + -19.44lnx = 0.00 + -20
-19.44lnx = 0.00 + -20

Combine like terms: 0.00 + -20 = -20
-19.44lnx = -20

Divide each side by '-19.44nx'.
l = 1.028806584n-1x-1

Simplifying
l = 1.028806584n-1x-1

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