8967=e^4x

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Solution for 8967=e^4x equation:


Simplifying
8967 = e4x

Solving
8967 = e4x

Solving for variable 'e'.

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

Add '-1e4x' to each side of the equation.
8967 + -1e4x = e4x + -1e4x

Combine like terms: e4x + -1e4x = 0
8967 + -1e4x = 0

Add '-8967' to each side of the equation.
8967 + -8967 + -1e4x = 0 + -8967

Combine like terms: 8967 + -8967 = 0
0 + -1e4x = 0 + -8967
-1e4x = 0 + -8967

Combine like terms: 0 + -8967 = -8967
-1e4x = -8967

Divide each side by '-1x'.
e4 = 8967x-1

Simplifying
e4 = 8967x-1

Combine like terms: 8967x-1 + -8967x-1 = 0
e4 + -8967x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -8967) = 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 '(e4x + -8967)' equal to zero and attempt to solve: Simplifying e4x + -8967 = 0 Reorder the terms: -8967 + e4x = 0 Solving -8967 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '8967' to each side of the equation. -8967 + 8967 + e4x = 0 + 8967 Combine like terms: -8967 + 8967 = 0 0 + e4x = 0 + 8967 e4x = 0 + 8967 Combine like terms: 0 + 8967 = 8967 e4x = 8967 Divide each side by 'x'. e4 = 8967x-1 Simplifying e4 = 8967x-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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