Ln(5*10^6/N)=120

Simple and best practice solution for Ln(5*10^6/N)=120 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 Ln(5*10^6/N)=120 equation: 


D( N )

(5*10^6)/N <= 0

N = 0

(5*10^6)/N <= 0

(5*10^6)/N <= 0

5000000*N^-1 <= 0

5000000*N^-1 <= 0 // : 5000000

N^-1 <= 0/5000000

N^-1 <= 0

1/(N^1) <= 0

N <> 0

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

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

N^1 <= 0

N <= 0

N in (-oo:0)

N = 0

N = 0

N in (0:+oo)

ln((5*10^6)/N) = 120 // - 120

ln((5*10^6)/N)-120 = 0

ln((5*10^6)/N)-120 = 0 // + 120

ln((5*10^6)/N) = 120

ln((5*10^6)/N) = ln(e^120)

(5*10^6)/N = e^120

(5*10^6)/N-e^120 = 0

5000000*N^-1 = e^120 // : 5000000

N^-1 = (e^120)/5000000

-1 < 0

1/(N^1) = (e^120)/5000000 // * N^1

1 = ((e^120)/5000000)*N^1 // : (e^120)/5000000

5000000*e^-120 = N^1

N = 0

N in { 0} 

N belongs to the empty set

See similar equations:

| 9x=6/7 | | 4ab-2b= | | 5y-3/5=3/8 | | b/13-35/13=8/13 | | 2(a-3)=20 | | 4(a+9)=60 | | (x+6)=47 | | 5(2+4z)=5 | | 9=4c-7 | | 11=4+6-4 | | 15=4+s-t | | 11=4+s-t | | 6x+9=97 | | 10=4+s-t | | 7=4+s-t | | 8x+12=108 | | x=4+s-t | | (x+10)=36 | | x^3/2/sqrtx | | 2u-3=3(2-u)-4 | | x^2-40x-117=0 | | 6sqrtx+x= | | 14x^2y-21xy^2+7xy-28= | | 3x^2-2=2(x^2+3) | | 10d+6=7d+27 | | 4(x-2)=15.2 | | 67=8c-9 | | 7*9/3-7/8 | | 7x+3=94 | | 8e-4=72 | | 9x+14=32 | | 4+8x=92 |

Equations solver categories