.40=ln(Y)

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Solution for .40=ln(Y) equation: 


Simplifying
0.40 = ln(Y)

Multiply ln * Y
0.40 = lnY

Solving
0.40 = lnY

Solving for variable 'l'.

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

Add '-1lnY' to each side of the equation.
0.40 + -1lnY = lnY + -1lnY

Combine like terms: lnY + -1lnY = 0
0.40 + -1lnY = 0

Add '-0.40' to each side of the equation.
0.40 + -0.40 + -1lnY = 0 + -0.40

Combine like terms: 0.40 + -0.40 = 0.00
0.00 + -1lnY = 0 + -0.40
-1lnY = 0 + -0.40

Combine like terms: 0 + -0.40 = -0.4
-1lnY = -0.4

Divide each side by '-1nY'.
l = 0.4n-1Y-1

Simplifying
l = 0.4n-1Y-1

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