.0025=e^9n

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Solution for .0025=e^9n equation:


Simplifying
0.0025 = e9n

Solving
0.0025 = e9n

Solving for variable 'e'.

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

Add '-1e9n' to each side of the equation.
0.0025 + -1e9n = e9n + -1e9n

Combine like terms: e9n + -1e9n = 0
0.0025 + -1e9n = 0

Add '-0.0025' to each side of the equation.
0.0025 + -0.0025 + -1e9n = 0 + -0.0025

Combine like terms: 0.0025 + -0.0025 = 0.0000
0.0000 + -1e9n = 0 + -0.0025
-1e9n = 0 + -0.0025

Combine like terms: 0 + -0.0025 = -0.0025
-1e9n = -0.0025

Divide each side by '-1n'.
e9 = 0.0025n-1

Simplifying
e9 = 0.0025n-1

Combine like terms: 0.0025n-1 + -0.0025n-1 = 0.0000
e9 + -0.0025n-1 = 0.0000

Factor out the Greatest Common Factor (GCF), 'n-1'.
n-1(e9n + -0.0025) = 0.0000

Subproblem 1

Set the factor 'n-1' equal to zero and attempt to solve: Simplifying n-1 = 0 Solving n-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1n-1' to each side of the equation. n-1 + -1n-1 = 0 + -1n-1 Remove the zero: 0 = -1n-1 Simplifying 0 = -1n-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 '(e9n + -0.0025)' equal to zero and attempt to solve: Simplifying e9n + -0.0025 = 0 Reorder the terms: -0.0025 + e9n = 0 Solving -0.0025 + e9n = 0 Move all terms containing e to the left, all other terms to the right. Add '0.0025' to each side of the equation. -0.0025 + 0.0025 + e9n = 0 + 0.0025 Combine like terms: -0.0025 + 0.0025 = 0.0000 0.0000 + e9n = 0 + 0.0025 e9n = 0 + 0.0025 Combine like terms: 0 + 0.0025 = 0.0025 e9n = 0.0025 Divide each side by 'n'. e9 = 0.0025n-1 Simplifying e9 = 0.0025n-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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