9e^2x=36

Simple and best practice solution for 9e^2x=36 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 9e^2x=36 equation:


Simplifying
9e2x = 36

Solving
9e2x = 36

Solving for variable 'e'.

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

Divide each side by '9x'.
e2 = 4x-1

Simplifying
e2 = 4x-1

Combine like terms: 4x-1 + -4x-1 = 0
e2 + -4x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -4) = 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 '(e2x + -4)' equal to zero and attempt to solve: Simplifying e2x + -4 = 0 Reorder the terms: -4 + e2x = 0 Solving -4 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + e2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + e2x = 0 + 4 e2x = 0 + 4 Combine like terms: 0 + 4 = 4 e2x = 4 Divide each side by 'x'. e2 = 4x-1 Simplifying e2 = 4x-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:

| 2+x=-2x+23 | | z+z-6-2=10 | | x-(-5x)=8x | | 4x=7(y-1) | | 6x+9-8(x+1)=7x+3 | | -3(-9u+5)-9u=3(u-1)-3 | | x^2m*x^5=x^25 | | -(7x-4)-(4x-5)+10=-10(x-1)-(4x+9)+3 | | 17-16x-14+8x-3x-1=24 | | 8m-0.9=10.3 | | -4-9(9m-4)= | | 2x-1y=1-1 | | (3x-3)+(2x+13)= | | 40000=10000x^20 | | 4+3(3u-2)=-2(6u-3)+9u | | 22xy^2-88xy+55xy^2= | | 12w+14=34 | | 4x-2-5x=-8 | | 56=9f-16 | | 2(u+5)=-3(4u-5)+4u | | 4x-3y=-52 | | 4x-3y=53 | | (3x+2)(x+1)=3x+17 | | -5y-8=7(y-8) | | 6cos^3(X)=6cos(X) | | m^4+2m^3-13m^2-14*m+24=0 | | t^2-6t=-25 | | 16y^2+64y+64=64 | | 0.456=-0.3(7n-312) | | 7(2x-x)-7=0 | | X^2+1x-60=0 | | x-4+1-7x=-8x |

Equations solver categories