5e^2x+11=21

Simple and best practice solution for 5e^2x+11=21 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^2x+11=21 equation:


Simplifying
5e2x + 11 = 21

Reorder the terms:
11 + 5e2x = 21

Solving
11 + 5e2x = 21

Solving for variable 'e'.

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

Add '-11' to each side of the equation.
11 + -11 + 5e2x = 21 + -11

Combine like terms: 11 + -11 = 0
0 + 5e2x = 21 + -11
5e2x = 21 + -11

Combine like terms: 21 + -11 = 10
5e2x = 10

Divide each side by '5x'.
e2 = 2x-1

Simplifying
e2 = 2x-1

Combine like terms: 2x-1 + -2x-1 = 0
e2 + -2x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -2) = 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 + -2)' equal to zero and attempt to solve: Simplifying e2x + -2 = 0 Reorder the terms: -2 + e2x = 0 Solving -2 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e2x = 0 + 2 e2x = 0 + 2 Combine like terms: 0 + 2 = 2 e2x = 2 Divide each side by 'x'. e2 = 2x-1 Simplifying e2 = 2x-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(b+5)=12 | | 2y-4=4y-24 | | 6x+2(5x-16)=96 | | 4(y-3)=-4 | | 2x+6(2x-13)=62 | | (4x-3)2=5 | | 7x+7(7x-12)=196 | | 12=15x+5y | | x=-5y+3 | | 4a+2=-8 | | 3x+7(3x-17)=97 | | cos(x)+cos(2x)+cos(3x)+cos(8x)=0 | | 1500/x=600-20x | | -44+43= | | x+(x+1)+(x+2)=3x-3 | | 8y-3=9 | | -27+(-29)= | | 5x+3(2x+12)=124 | | y=(4x-2)(3x+4) | | -28+(-34)= | | 46+(-51)= | | 2t-4=-12 | | 3y+5=-18 | | 3000-120x=400-16000x | | -48+(-46)= | | -25+56= | | 72+4=5x | | 2ln(3x+5)+5=8 | | 5s+3=48 | | -35+30= | | 7x(3x-5)=0 | | 1500/x=600-20p |

Equations solver categories