e^4x=64

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


Simplifying
e4x = 64

Solving
e4x = 64

Solving for variable 'e'.

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

Divide each side by 'x'.
e4 = 64x-1

Simplifying
e4 = 64x-1

Combine like terms: 64x-1 + -64x-1 = 0
e4 + -64x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -64) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 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 '(e4x + -64)' equal to zero and attempt to solve: Simplifying e4x + -64 = 0 Reorder the terms: -64 + e4x = 0 Solving -64 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + e4x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + e4x = 0 + 64 e4x = 0 + 64 Combine like terms: 0 + 64 = 64 e4x = 64 Divide each side by 'x'. e4 = 64x-1 Simplifying e4 = 64x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 9y-11=79 | | 6z^2+5z=21 | | x-18-13=31 | | ln(3x-24)=ln(1-2x) | | Log(3x+5)-1=0 | | m/3-3=11 | | x+11-70=25 | | x/2+6=18 | | 80=16tsquared | | 4x+5y=3(x-4y) | | 7y+4=39 | | 30n^2-5n=5 | | 3x+24=15x-46 | | 3n+10=2n+10 | | 38x-95= | | 3x^2-4x-384=0 | | 7n-4(n+5)+12=6 | | 67b+48c= | | 2m^2+4m+1=0 | | 7c(c)= | | 3(c-1)=2(2c+5) | | xsquared+6x=31 | | 72a+27b= | | 9(q-2)=3(2q+6) | | -x(9x-7)(7x+9)=0 | | 81=(.72)x | | 50x^2+200x=-150 | | -3p-3(4+4p)=-132 | | 2n=70 | | 62x+14y= | | 9c+14-3c=62 | | 1.6x=x+20 |

Equations solver categories