5e^4x-6=25

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Solution for 5e^4x-6=25 equation:


Simplifying
5e4x + -6 = 25

Reorder the terms:
-6 + 5e4x = 25

Solving
-6 + 5e4x = 25

Solving for variable 'e'.

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

Add '6' to each side of the equation.
-6 + 6 + 5e4x = 25 + 6

Combine like terms: -6 + 6 = 0
0 + 5e4x = 25 + 6
5e4x = 25 + 6

Combine like terms: 25 + 6 = 31
5e4x = 31

Divide each side by '5x'.
e4 = 6.2x-1

Simplifying
e4 = 6.2x-1

Combine like terms: 6.2x-1 + -6.2x-1 = 0.0
e4 + -6.2x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -6.2) = 0.0

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 '(e4x + -6.2)' equal to zero and attempt to solve: Simplifying e4x + -6.2 = 0 Reorder the terms: -6.2 + e4x = 0 Solving -6.2 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '6.2' to each side of the equation. -6.2 + 6.2 + e4x = 0 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + e4x = 0 + 6.2 e4x = 0 + 6.2 Combine like terms: 0 + 6.2 = 6.2 e4x = 6.2 Divide each side by 'x'. e4 = 6.2x-1 Simplifying e4 = 6.2x-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.

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