e^5x=90

Simple and best practice solution for e^5x=90 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^5x=90 equation:


Simplifying
e5x = 90

Solving
e5x = 90

Solving for variable 'e'.

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

Divide each side by 'x'.
e5 = 90x-1

Simplifying
e5 = 90x-1

Combine like terms: 90x-1 + -90x-1 = 0
e5 + -90x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -90) = 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 '(e5x + -90)' equal to zero and attempt to solve: Simplifying e5x + -90 = 0 Reorder the terms: -90 + e5x = 0 Solving -90 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + e5x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + e5x = 0 + 90 e5x = 0 + 90 Combine like terms: 0 + 90 = 90 e5x = 90 Divide each side by 'x'. e5 = 90x-1 Simplifying e5 = 90x-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:

| 2x-8+49=180 | | 27-36x+8(3x+4)=11 | | x+58+61+x-1=360 | | 3m-8z=97 | | r/5+30=29 | | 2x-8y=-20 | | -x^2+7x+4=0 | | y=5x+125 | | 6x^2-4x-2562=0 | | x=3*6+2 | | 3x^4-9x^2-54=0 | | 5(2x+7)=8 | | 5y+(-9y)= | | 16t^2-50t=20 | | x^2+3x=504 | | -27=6x+9 | | -6[x-4(x+2)]=5x-4 | | 2*8-4/4 | | x+58+x-1=360 | | 74=2(c-34) | | 11.5-8= | | 7b+3=25 | | z=-15-2i | | x+(x+1)+(x+2)=336 | | p=4r+3tsolve | | 12y+6-8y-3=-6+4 | | -6x^2-14x-52=0 | | -25=-3x+20 | | 8ln(3-x)=5 | | 1/2y-1/3x=2 | | X^2-8x-120=0 | | (5^-2)*(x^-1)/(x^4)*(y^2) |

Equations solver categories