5e^3x=30

Simple and best practice solution for 5e^3x=30 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 5e^3x=30 equation:


Simplifying
5e3x = 30

Solving
5e3x = 30

Solving for variable 'e'.

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

Divide each side by '5x'.
e3 = 6x-1

Simplifying
e3 = 6x-1

Combine like terms: 6x-1 + -6x-1 = 0
e3 + -6x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -6) = 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 + -6)' equal to zero and attempt to solve: Simplifying e3x + -6 = 0 Reorder the terms: -6 + e3x = 0 Solving -6 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + e3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + e3x = 0 + 6 e3x = 0 + 6 Combine like terms: 0 + 6 = 6 e3x = 6 Divide each side by 'x'. e3 = 6x-1 Simplifying e3 = 6x-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:

| (7x-3)=(x+5) | | 96-6x=7x | | 2xsquared+14x-36=0 | | 5+2x=22 | | 4xy+3x(2+5y)-7xy= | | 70/168 | | 4x+2y+z=0 | | 3x-11/7x-14 | | 10x-5=45x+9 | | 7w+4=104 | | y=5x^3-4s-x-s | | 81n=9 | | 81n=8 | | -4k-8k-3=-3-5k^2 | | -25=-125 | | f(x)=361sin^2x | | x^2+y^2-4x-8y+12=0 | | 3y+14=38 | | 18=1x+3 | | 3k+5-8k=-35 | | 0=x^2+4x-8 | | 5(3x-2)=3(2x+1)+2x+1 | | 4t=14=6t/5=7 | | 1/5=4 | | x-4/7x=0 | | a^2+6a-18=0 | | 3x+4=18-2x | | g^2+11g=126 | | 2(2x-3)=3x+11 | | 5.94x+81=35.2836+9x | | 8x+40=3x+125 | | 5[3x-2(x+4)]-4x=6(2x-3) |

Equations solver categories