ln(1/2)=ln(1-e^-8x)

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Solution for ln(1/2)=ln(1-e^-8x) equation: 


D( x )

1-(e^-8*x) <= 0

1-(e^-8*x) <= 0

1-(e^-8*x) <= 0

1-e^-8*x <= 0 // - 1

-e^-8*x <= -1 // : -e^-8

x >= -1/(-e^-8)

x >= 1/(e^-8)

x in (-oo:1/(e^-8))

ln(1/2) = ln(1-(e^-8*x)) // - ln(1-(e^-8*x))

ln(1/2)-ln(1-(e^-8*x)) = 0

ln(1/2)-ln(1-(e^-8*x)) = 0 // - ln(1/2)

-ln(1-(e^-8*x)) = -ln(1/2)

-ln(1-(e^-8*x)) = -ln(1/2) // * -1

1-(e^-8*x) = 1/2

1-(e^-8*x)-1/2 = 0

1/2-e^-8*x = 0 // - 1/2

-e^-8*x = -1/2 // : -e^-8

x = -1/2/(-e^-8)

x = 1/2/(e^-8)

x = 1/2/(e^-8)

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