4e^2x-3=100

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Solution for 4e^2x-3=100 equation:


Simplifying
4e2x + -3 = 100

Reorder the terms:
-3 + 4e2x = 100

Solving
-3 + 4e2x = 100

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 + 4e2x = 100 + 3

Combine like terms: -3 + 3 = 0
0 + 4e2x = 100 + 3
4e2x = 100 + 3

Combine like terms: 100 + 3 = 103
4e2x = 103

Divide each side by '4x'.
e2 = 25.75x-1

Simplifying
e2 = 25.75x-1

Combine like terms: 25.75x-1 + -25.75x-1 = 0.00
e2 + -25.75x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -25.75) = 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 + -25.75)' equal to zero and attempt to solve: Simplifying e2x + -25.75 = 0 Reorder the terms: -25.75 + e2x = 0 Solving -25.75 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '25.75' to each side of the equation. -25.75 + 25.75 + e2x = 0 + 25.75 Combine like terms: -25.75 + 25.75 = 0.00 0.00 + e2x = 0 + 25.75 e2x = 0 + 25.75 Combine like terms: 0 + 25.75 = 25.75 e2x = 25.75 Divide each side by 'x'. e2 = 25.75x-1 Simplifying e2 = 25.75x-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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