ln(x)=2ln(x/2)

Simple and best practice solution for ln(x)=2ln(x/2) 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(x)=2ln(x/2) equation: 


D( x )

x <= 0

x/2 <= 0

x <= 0

x/2 <= 0

x/2 <= 0

1/2*x+0 <= 0 // - 0

1/2*x <= 0 // : 1/2

x <= 0/1/2

x <= 0

x in (0:+oo)

ln(x) = 2*ln(x/2) // - 2*ln(x/2)

ln(x)-(2*ln(x/2)) = 0

ln(x)-2*ln(x/2) = 0

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

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

ln(x/((x/2)^2)) = 0

ln(x/((x/2)^2)) = ln(e^0)

x/((x/2)^2) = e^0

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

4*x^-1 = 1 // : 4

x^-1 = 1/4

-1 < 0

1/(x^1) = 1/4 // * x^1

1 = 1/4*x^1 // : 1/4

4 = x^1

x = 4

x = 4

See similar equations:

| (3x+6)+(2x+2)=5(x-1)+9 | | 2/3(3m-2)-3/4(8m-2) | | 0.5(x-5000000)=200000 | | 300/390 | | 110/120 | | 0.5(x-5000000)=10 | | 13x^2+5x+8x^2= | | -4(-5)+5x+21=6 | | -23=5(2a-1)+2a | | 45/63 | | -18=-4x-6 | | 4(x+5)=4(x+9) | | 4x-5=20x-5 | | 396/504 | | -5x-1(5x+21)=21 | | 3/(2x)+5/3=6 | | 13x-1=25 | | 3/2x+5/3=6 | | x+10=3x+16 | | -5x-1(-4x+y+6)=21 | | 2/7(21y+14)-2(4y+5)=0 | | 8x+2-6x=7x+6 | | 3/2x-5/3=6 | | X^2+9x-328=0 | | x^2+26x+168=0 | | y=8600 | | -4x+1(5x+21)=6 | | (X^2)+3x=120 | | -2x+23=-1.2x | | z17/z8 | | m^4-m^2=0 | | 1200(x+7)=144000 |

Equations solver categories