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

Simple and best practice solution for 4ln((x/4)^2-1) 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 4ln((x/4)^2-1) equation: 


D( x )

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

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

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

1/16*x^2 <= 1

1/16*x^2 <= 1 // : 1/16

x^2 <= 1/1/16

x^2 <= 16

x^2 <= 16 // ^ 1/2

abs(x) <= 4

x in <-4:4>

x in (-oo:-4) U (4:+oo)

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

4*ln((x/4)^2-1) = 0 // : 4

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

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

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

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

1/16*x^2 = 2 // : 1/16

x^2 = 32

x^2 = 32 // ^ 1/2

abs(x) = 4*2^(1/2)

x = 4*2^(1/2) or x = -(4*2^(1/2))

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

See similar equations:

| -7(x-9)+7=70 | | 20x-8=40x+7 | | -3y-5y+10=36 | | 5x-15=250 | | 2-5(-1/2)= | | -0.3x+9.26=-0.7x+7.66 | | 8x-10=-10+3 | | 5(3x+9)=-41+26 | | 3(n+6)-(7n-4)=-5n | | 0.5x^2+100x-5000=0 | | 0.5x^2-100x+5000=0 | | 9(1+y)=8(y-6) | | x+17=7x+47 | | x^2+100x-10000=0 | | (x-15)(x-15)=-36 | | 15+17=-4(6x-8) | | 6(n+8)-(-4n-1)=9n | | 0=0+0 | | 15x-8=14x-12 | | 11+5x=-x+32x+39 | | (5a-2b+8ab+9)-(2a+b+8ab-1)= | | 2x-5/-2=-10 | | -3x+23y=-11 | | 2x^2-px+16=0 | | 14=-7/2x | | -16x^2+64x+4=0 | | 24=4/3w | | x^3+9x^2-7x-10=0 | | -1/6X-1/5X | | 3xsquared-48= | | 0.5x^2+50x-5000=0 | | x+4.33=6.26 |

Equations solver categories