5=ln(1/x)

Simple and best practice solution for 5=ln(1/x) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 5=ln(1/x) equation: 


D( x )

x = 0

1/x <= 0

x = 0

x = 0

1/x <= 0

1/x <= 0

1*x^-1 <= 0

1*x^-1 <= 0 // : 1

x^-1 <= 0/1

x^-1 <= 0

1/(x^1) <= 0

x <> 0

1/(x^1) <= 0 // * x^2

(x^2)/(x^1) <= 0

x^1 <= 0

x <= 0

x in (-oo:0)

x in (0:+oo)

5 = ln(1/x) // - ln(1/x)

5-ln(1/x) = 0

5-ln(1/x) = 0 // - 5

-ln(1/x) = -5

-ln(1/x) = -5 // * -1

ln(1/x) = ln(e^5)

1/x = e^5

1/x-e^5 = 0

1*x^-1 = e^5 // : 1

x^-1 = e^5

-1 < 0

1/(x^1) = e^5 // * x^1

1 = e^5*x^1 // : e^5

1/(e^5) = x^1

x = 1/(e^5)

x = 1/(e^5)

See similar equations:

| 100+X*5/100 | | 5t^2-25t-2=h | | x/26=22 | | (m-2)-5=8-2 | | 7.2+10= | | y=x^2+8x+21 | | 72/10= | | -17r=306 | | 1.68j+1.24=13 | | (1/3x)+((6x-9)/3x)=(3x-3)/4x | | 24*4= | | 3/4t+7/8t=39 | | 5-2m=3m-5 | | 4x+9y=2 | | 72/3*4-2+10=-6 | | 20b^2-245= | | 14-y=1 | | 0.20x+0.45(50)=36.5 | | h+|-8|=15 | | 2n/-5=4/6 | | 8x+7=-3+5x+19 | | 2(d+7)-(3d+5)=2d+(4d-9+3d)-(d+3) | | 1.50m+5=15.50 | | -2/3r+2r=6/5r+8/5 | | 4(3r+2)-2r=-10 | | 0.50f+5=11.50 | | -8(r+5)=-18-8r | | 3=8x+4 | | -6(2+7k)=-12+4k | | 2(n-2)=2+4n | | 4(3n-2)=64 | | -16+3y=4 |

Equations solver categories