8906=e^4x

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Solution for 8906=e^4x equation:


Simplifying
8906 = e4x

Solving
8906 = 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.
8906 + -1e4x = e4x + -1e4x

Combine like terms: e4x + -1e4x = 0
8906 + -1e4x = 0

Add '-8906' to each side of the equation.
8906 + -8906 + -1e4x = 0 + -8906

Combine like terms: 8906 + -8906 = 0
0 + -1e4x = 0 + -8906
-1e4x = 0 + -8906

Combine like terms: 0 + -8906 = -8906
-1e4x = -8906

Divide each side by '-1x'.
e4 = 8906x-1

Simplifying
e4 = 8906x-1

Combine like terms: 8906x-1 + -8906x-1 = 0
e4 + -8906x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -8906) = 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 + -8906)' equal to zero and attempt to solve: Simplifying e4x + -8906 = 0 Reorder the terms: -8906 + e4x = 0 Solving -8906 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '8906' to each side of the equation. -8906 + 8906 + e4x = 0 + 8906 Combine like terms: -8906 + 8906 = 0 0 + e4x = 0 + 8906 e4x = 0 + 8906 Combine like terms: 0 + 8906 = 8906 e4x = 8906 Divide each side by 'x'. e4 = 8906x-1 Simplifying e4 = 8906x-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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