1200=500e^600k

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Solution for 1200=500e^600k equation:


Simplifying
1200 = 500e600k

Solving
1200 = 500e600k

Solving for variable 'e'.

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

Add '-500e600k' to each side of the equation.
1200 + -500e600k = 500e600k + -500e600k

Combine like terms: 500e600k + -500e600k = 0
1200 + -500e600k = 0

Add '-1200' to each side of the equation.
1200 + -1200 + -500e600k = 0 + -1200

Combine like terms: 1200 + -1200 = 0
0 + -500e600k = 0 + -1200
-500e600k = 0 + -1200

Combine like terms: 0 + -1200 = -1200
-500e600k = -1200

Divide each side by '-500k'.
e600 = 2.4k-1

Simplifying
e600 = 2.4k-1

Combine like terms: 2.4k-1 + -2.4k-1 = 0.0
e600 + -2.4k-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e600k + -2.4) = 0.0

Subproblem 1

Set the factor 'k-1' equal to zero and attempt to solve: Simplifying k-1 = 0 Solving k-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1k-1' to each side of the equation. k-1 + -1k-1 = 0 + -1k-1 Remove the zero: 0 = -1k-1 Simplifying 0 = -1k-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 '(e600k + -2.4)' equal to zero and attempt to solve: Simplifying e600k + -2.4 = 0 Reorder the terms: -2.4 + e600k = 0 Solving -2.4 + e600k = 0 Move all terms containing e to the left, all other terms to the right. Add '2.4' to each side of the equation. -2.4 + 2.4 + e600k = 0 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + e600k = 0 + 2.4 e600k = 0 + 2.4 Combine like terms: 0 + 2.4 = 2.4 e600k = 2.4 Divide each side by 'k'. e600 = 2.4k-1 Simplifying e600 = 2.4k-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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