e^2x+3=6

Simple and best practice solution for e^2x+3=6 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^2x+3=6 equation:


Simplifying
e2x + 3 = 6

Reorder the terms:
3 + e2x = 6

Solving
3 + e2x = 6

Solving for variable 'e'.

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

Add '-3' to each side of the equation.
3 + -3 + e2x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + e2x = 6 + -3
e2x = 6 + -3

Combine like terms: 6 + -3 = 3
e2x = 3

Divide each side by 'x'.
e2 = 3x-1

Simplifying
e2 = 3x-1

Combine like terms: 3x-1 + -3x-1 = 0
e2 + -3x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -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 '(e2x + -3)' equal to zero and attempt to solve: Simplifying e2x + -3 = 0 Reorder the terms: -3 + e2x = 0 Solving -3 + e2x = 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 + e2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + e2x = 0 + 3 e2x = 0 + 3 Combine like terms: 0 + 3 = 3 e2x = 3 Divide each side by 'x'. e2 = 3x-1 Simplifying e2 = 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:

| h(t)=-16t^2+64(t) | | (4-5x)*(2x+7)=0 | | x^6=.18 | | 14-16=4y+8-3y | | 5x-19=6x+83 | | 4k-13=31 | | 5/2=2x | | 25-7i/5i | | 2(x^2-3x)=5 | | (5i)(11i)= | | 2y+3x=-4 | | x^3+2x^2y-5xy^2-6y^3=0 | | (-3/4)=9 | | p(3)=5x+6 | | 10+x+20=10x-6 | | .10x+12=.3y | | (3/4-1/2n=5/8)8 | | 6(2k+5)=-6k-6(-2-6k) | | 3(5mn-4)= | | (3x^2+3y^2)dx+(x^3+3xy^2+6xy)dy=0 | | 14a+8-3a-12= | | 27=y+20 | | (2+v)(3v+5)=0 | | 5x^1+5x^2=1 | | 2(38+-1y)+2y=76 | | 11r=30 | | 1+0.5log(2x-1)=log(4x-2) | | 1+0.5lg(2x-1)=lg(4x-2) | | 10+0.5(2x-1)=4x-2 | | 3x=-1/2x | | 2x+2y=76 | | 1x+.5y=10 |

Equations solver categories