4e^2x=91

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Solution for 4e^2x=91 equation: 


Simplifying
4e2x = 91

Solving
4e2x = 91

Solving for variable 'e'.

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

Divide each side by '4x'.
e2 = 22.75x-1

Simplifying
e2 = 22.75x-1

Combine like terms: 22.75x-1 + -22.75x-1 = 0.00
e2 + -22.75x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -22.75) = 0.00


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 + -22.75)' equal to zero and attempt to solve:

Simplifying
e2x + -22.75 = 0

Reorder the terms:
-22.75 + e2x = 0

Solving
-22.75 + e2x = 0

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

Add '22.75' to each side of the equation.
-22.75 + 22.75 + e2x = 0 + 22.75

Combine like terms: -22.75 + 22.75 = 0.00
0.00 + e2x = 0 + 22.75
e2x = 0 + 22.75

Combine like terms: 0 + 22.75 = 22.75
e2x = 22.75

Divide each side by 'x'.
e2 = 22.75x-1

Simplifying
e2 = 22.75x-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.

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