ln((x-1)/(2))=4

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Solution for ln((x-1)/(2))=4 equation:


D( x )

(x-1)/2 <= 0

(x-1)/2 <= 0

(x-1)/2 <= 0

( 2 )

2 <= 0

x belongs to the empty set

( x-1 )

x-1 <= 0 // + 1

x <= 1

(-oo:1) (1:+oo) 2 + + x-1 - +

x in (1:+oo)

ln((x-1)/2) = 4 // - 4

ln((x-1)/2)-4 = 0

ln((x-1)/2)-4 = 0 // + 4

ln((x-1)/2) = 4

ln((x-1)/2) = ln(e^4)

(x-1)/2 = e^4

(x-1)/2-e^4 = 0

(x-1)/2+e^4 = 0

(x-1)/2+(2*e^4)/2 = 0

x+2*e^4-1 = 0

(x+2*e^4-1)/2 = 0

(x+2*e^4-1)/2 = 0 // * 2

x+2*e^4-1 = 0

x+2*e^4-1 = 0 // - 2*e^4-1

x = -(2*e^4-1)

x = 1-(2*e^4)

x in { 1-(2*e^4)}

x belongs to the empty set

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