3=18-3ln(8.1x)

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Solution for 3=18-3ln(8.1x) equation:


Simplifying
3 = 18 + -3ln(8.1x)

Remove parenthesis around (8.1x)
3 = 18 + -3ln * 8.1x

Reorder the terms for easier multiplication:
3 = 18 + -3 * 8.1ln * x

Multiply -3 * 8.1
3 = 18 + -24.3ln * x

Multiply ln * x
3 = 18 + -24.3lnx

Solving
3 = 18 + -24.3lnx

Solving for variable 'l'.

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

Add '24.3lnx' to each side of the equation.
3 + 24.3lnx = 18 + -24.3lnx + 24.3lnx

Combine like terms: -24.3lnx + 24.3lnx = 0.0
3 + 24.3lnx = 18 + 0.0
3 + 24.3lnx = 18

Add '-3' to each side of the equation.
3 + -3 + 24.3lnx = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 24.3lnx = 18 + -3
24.3lnx = 18 + -3

Combine like terms: 18 + -3 = 15
24.3lnx = 15

Divide each side by '24.3nx'.
l = 0.6172839506n-1x-1

Simplifying
l = 0.6172839506n-1x-1

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