e^4=64

Simple and best practice solution for e^4=64 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 e^4=64 equation:


Simplifying
e4 = 64

Solving
e4 = 64

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Simplifying
e4 = 64

Reorder the terms:
-64 + e4 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + e4 = 0

Factor a difference between two squares.
(8 + e2)(-8 + e2) = 0

Subproblem 1

Set the factor '(8 + e2)' equal to zero and attempt to solve: Simplifying 8 + e2 = 0 Solving 8 + e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + e2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + e2 = 0 + -8 e2 = 0 + -8 Combine like terms: 0 + -8 = -8 e2 = -8 Simplifying e2 = -8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-8 + e2)' equal to zero and attempt to solve: Simplifying -8 + e2 = 0 Solving -8 + e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + e2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + e2 = 0 + 8 e2 = 0 + 8 Combine like terms: 0 + 8 = 8 e2 = 8 Simplifying e2 = 8 Take the square root of each side: e = {-2.828427125, 2.828427125}

Solution

e = {-2.828427125, 2.828427125}

See similar equations:

| -12=-4(x-2)+9(x-5) | | 6x-3x-47=19 | | (8+40x)+5=13+5x | | 3/4-2/3=x | | -4(-2-y)+3y=3(y-4) | | 9(y-4)+8(y+1)=57 | | 6n^2-3n-108=0 | | 3(x-4.4)=7.2 | | 10c+2=130 | | (8+40)+5=13+5x | | sin^2*x/2-2=0 | | 23x-46=437 | | 0=72x^2-2 | | 28-2.2y=11.6y+262.2 | | x^4-21t^2+80=0 | | 4y+4x-16=90 | | ex=69 | | 2x-5+2(3x)+13=-2-2x(16-5) | | 5x+4y=-11 | | 15x^2-15x^4= | | sin*3*x=0 | | 6x+5=-x+4 | | 4y+4x=106 | | 105/12*3/5 | | 222=130-x | | 6x+9y=1 | | 4x+-24+2x=5x+-1 | | x^3-4x^2-6x=0 | | 2v+11=47 | | 4(x+2)+23=26 | | -2(x-6)=8 | | m^4-49n^2=0 |

Equations solver categories