93=9e^2x

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Solution for 93=9e^2x equation:


Simplifying
93 = 9e2x

Solving
93 = 9e2x

Solving for variable 'e'.

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

Add '-9e2x' to each side of the equation.
93 + -9e2x = 9e2x + -9e2x

Combine like terms: 9e2x + -9e2x = 0
93 + -9e2x = 0

Add '-93' to each side of the equation.
93 + -93 + -9e2x = 0 + -93

Combine like terms: 93 + -93 = 0
0 + -9e2x = 0 + -93
-9e2x = 0 + -93

Combine like terms: 0 + -93 = -93
-9e2x = -93

Divide each side by '-9x'.
e2 = 10.33333333x-1

Simplifying
e2 = 10.33333333x-1

Combine like terms: 10.33333333x-1 + -10.33333333x-1 = 0.00000000
e2 + -10.33333333x-1 = 0.00000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -10.33333333) = 0.00000000

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 '(e2x + -10.33333333)' equal to zero and attempt to solve: Simplifying e2x + -10.33333333 = 0 Reorder the terms: -10.33333333 + e2x = 0 Solving -10.33333333 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '10.33333333' to each side of the equation. -10.33333333 + 10.33333333 + e2x = 0 + 10.33333333 Combine like terms: -10.33333333 + 10.33333333 = 0.00000000 0.00000000 + e2x = 0 + 10.33333333 e2x = 0 + 10.33333333 Combine like terms: 0 + 10.33333333 = 10.33333333 e2x = 10.33333333 Divide each side by 'x'. e2 = 10.33333333x-1 Simplifying e2 = 10.33333333x-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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