e^5X=7

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Solution for e^5X=7 equation:


Simplifying
e5X = 7

Solving
e5X = 7

Solving for variable 'e'.

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

Divide each side by 'X'.
e5 = 7X-1

Simplifying
e5 = 7X-1

Reorder the terms:
-7X-1 + e5 = 7X-1 + -7X-1

Combine like terms: 7X-1 + -7X-1 = 0
-7X-1 + e5 = 0

Factor out the Greatest Common Factor (GCF), 'X-1'.
X-1(-7 + e5X) = 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 '(-7 + e5X)' equal to zero and attempt to solve: Simplifying -7 + e5X = 0 Solving -7 + e5X = 0 Move all terms containing e to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + e5X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + e5X = 0 + 7 e5X = 0 + 7 Combine like terms: 0 + 7 = 7 e5X = 7 Divide each side by 'X'. e5 = 7X-1 Simplifying e5 = 7X-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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