e^3x-4=7

Simple and best practice solution for e^3x-4=7 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-4=7 equation:


Simplifying
e3x + -4 = 7

Reorder the terms:
-4 + e3x = 7

Solving
-4 + e3x = 7

Solving for variable 'e'.

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

Add '4' to each side of the equation.
-4 + 4 + e3x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + e3x = 7 + 4
e3x = 7 + 4

Combine like terms: 7 + 4 = 11
e3x = 11

Divide each side by 'x'.
e3 = 11x-1

Simplifying
e3 = 11x-1

Combine like terms: 11x-1 + -11x-1 = 0
e3 + -11x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -11) = 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 + -11)' equal to zero and attempt to solve: Simplifying e3x + -11 = 0 Reorder the terms: -11 + e3x = 0 Solving -11 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + e3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + e3x = 0 + 11 e3x = 0 + 11 Combine like terms: 0 + 11 = 11 e3x = 11 Divide each side by 'x'. e3 = 11x-1 Simplifying e3 = 11x-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:

| 1.5=.75 | | 4p+8-3p=33 | | 1/2+3/8(-4)= | | 1/2+3/8(-5)= | | -11+2x=x+19 | | =3.45 | | 1/2+3/8(-6)= | | 4(x-6)+13(x+8)= | | 4x-35=9x | | 4x+7=Q | | 3(4-3x)=-6 | | 5+2(3-7)=3(2+5)-24 | | 4(4)-7= | | 20-8+3n-3=20 | | -8-7x=-6x+14 | | 4(3)-7= | | x^2=13/24 | | 4(2)-7= | | 11x+1=6x-5 | | 0-5y=20 | | 3/10x-1/6=30 | | 20x+32=103 | | -3-108=37-8x | | 16x-8=15x | | 20x+33=103 | | 5x=18+3x | | In(x+1)-nx=2 | | 12x-16=13-9 | | 12(x-8)=24 | | ln(2e^3x)=ln(1016) | | 0x=72 | | 2x+32=103 |

Equations solver categories