e^3x-1=21

Simple and best practice solution for e^3x-1=21 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^3x-1=21 equation:


Simplifying
e3x + -1 = 21

Reorder the terms:
-1 + e3x = 21

Solving
-1 + e3x = 21

Solving for variable 'e'.

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

Add '1' to each side of the equation.
-1 + 1 + e3x = 21 + 1

Combine like terms: -1 + 1 = 0
0 + e3x = 21 + 1
e3x = 21 + 1

Combine like terms: 21 + 1 = 22
e3x = 22

Divide each side by 'x'.
e3 = 22x-1

Simplifying
e3 = 22x-1

Combine like terms: 22x-1 + -22x-1 = 0
e3 + -22x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -22) = 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 '(e3x + -22)' equal to zero and attempt to solve: Simplifying e3x + -22 = 0 Reorder the terms: -22 + e3x = 0 Solving -22 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + e3x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + e3x = 0 + 22 e3x = 0 + 22 Combine like terms: 0 + 22 = 22 e3x = 22 Divide each side by 'x'. e3 = 22x-1 Simplifying e3 = 22x-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:

| =3y-6 | | 4z+9z=26 | | 36a^2-81=0 | | 1*2*3*4-A(5*6)=-7(8A+4) | | -16x^2+23x-8=0 | | w^2-18w+6= | | 5g=3(h-1) | | 2x-4=13x+6 | | 5x(4x^2-3x+1)= | | y=x^2-3x+3 | | 5g=9h-10 | | 7q=-42 | | ln(x-2)+ln(x-3)=1 | | 18y^2+63=0 | | 5.5q-2.9-5.1q=-0.6q-2.9 | | 19-2x=3x-16 | | 50=x*0.5x | | -3y+9=-4y+7 | | 56=8y-10 | | m-38=-35 | | 6x-48=6 | | 6+3x=x+4 | | 2x-6/12=0 | | 2e^3x+4=17 | | 13-8x=133-36x | | x^2-18x=c | | -6(3b+3)+(19b-8)=0 | | 5x+24=7x-14 | | 3.4q-4.1-3.7q=-1.3q-3.5 | | 4p+3q=18 | | a(w+3)=w-15 | | 80w^3+52x^2-60w=0 |

Equations solver categories