e^5x-1=25

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Solution for e^5x-1=25 equation:


Simplifying
e5x + -1 = 25

Reorder the terms:
-1 + e5x = 25

Solving
-1 + e5x = 25

Solving for variable 'e'.

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

Add '1' to each side of the equation.
-1 + 1 + e5x = 25 + 1

Combine like terms: -1 + 1 = 0
0 + e5x = 25 + 1
e5x = 25 + 1

Combine like terms: 25 + 1 = 26
e5x = 26

Divide each side by 'x'.
e5 = 26x-1

Simplifying
e5 = 26x-1

Combine like terms: 26x-1 + -26x-1 = 0
e5 + -26x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -26) = 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 + -26)' equal to zero and attempt to solve: Simplifying e5x + -26 = 0 Reorder the terms: -26 + e5x = 0 Solving -26 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + e5x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + e5x = 0 + 26 e5x = 0 + 26 Combine like terms: 0 + 26 = 26 e5x = 26 Divide each side by 'x'. e5 = 26x-1 Simplifying e5 = 26x-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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