3e^4x=9

Simple and best practice solution for 3e^4x=9 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 3e^4x=9 equation:


Simplifying
3e4x = 9

Solving
3e4x = 9

Solving for variable 'e'.

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

Divide each side by '3x'.
e4 = 3x-1

Simplifying
e4 = 3x-1

Combine like terms: 3x-1 + -3x-1 = 0
e4 + -3x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -3) = 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 + -3)' equal to zero and attempt to solve: Simplifying e4x + -3 = 0 Reorder the terms: -3 + e4x = 0 Solving -3 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + e4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + e4x = 0 + 3 e4x = 0 + 3 Combine like terms: 0 + 3 = 3 e4x = 3 Divide each side by 'x'. e4 = 3x-1 Simplifying e4 = 3x-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:

| 6(7c-1)-14=40c+6 | | -10-(-17)=x/7 | | 0.3(x+40)+.9x=48 | | .21(10000)-0.04y=0.06(y+10000) | | 0.9x+0.05(2-x)=0.1(18) | | (8)(8/x) | | 19=9c+32 | | -58=14t+(.5)(9.8)t^2 | | -6(x+5)-44=4-30 | | 2-2=17x+7x | | 4(3x-5)=2(3-6) | | -3-4y=-23 | | x-3/2y=2 | | 6x-5x*1/2=6 | | 0.2x^2-1.2x-0.2=0 | | e^5x+3=k | | 6ln(t-1)=20 | | -3x+16=16 | | x+1=33 | | 4(5y-2)=12y | | 6y+3y+2y-9= | | n-19=-44 | | -91=-13r | | 6x+8-5x=11 | | 7(x-2)-4=2x+5(-4+x) | | 9x+7.0=63 | | 0.3x+0.6=0.9x-1.8 | | x+(10-x)=10 | | 2u-1=3(2-u)-2 | | ln(1+x)=0.4 | | 9-3x+8=5x+1 | | 22=-8x+54 |

Equations solver categories