1600=e^5x

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Solution for 1600=e^5x equation:


Simplifying
1600 = e5x

Solving
1600 = e5x

Solving for variable 'e'.

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

Add '-1e5x' to each side of the equation.
1600 + -1e5x = e5x + -1e5x

Combine like terms: e5x + -1e5x = 0
1600 + -1e5x = 0

Add '-1600' to each side of the equation.
1600 + -1600 + -1e5x = 0 + -1600

Combine like terms: 1600 + -1600 = 0
0 + -1e5x = 0 + -1600
-1e5x = 0 + -1600

Combine like terms: 0 + -1600 = -1600
-1e5x = -1600

Divide each side by '-1x'.
e5 = 1600x-1

Simplifying
e5 = 1600x-1

Combine like terms: 1600x-1 + -1600x-1 = 0
e5 + -1600x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -1600) = 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 + -1600)' equal to zero and attempt to solve: Simplifying e5x + -1600 = 0 Reorder the terms: -1600 + e5x = 0 Solving -1600 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '1600' to each side of the equation. -1600 + 1600 + e5x = 0 + 1600 Combine like terms: -1600 + 1600 = 0 0 + e5x = 0 + 1600 e5x = 0 + 1600 Combine like terms: 0 + 1600 = 1600 e5x = 1600 Divide each side by 'x'. e5 = 1600x-1 Simplifying e5 = 1600x-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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