65=e^6x

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Solution for 65=e^6x equation:


Simplifying
65 = e6x

Solving
65 = e6x

Solving for variable 'e'.

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

Add '-1e6x' to each side of the equation.
65 + -1e6x = e6x + -1e6x

Combine like terms: e6x + -1e6x = 0
65 + -1e6x = 0

Add '-65' to each side of the equation.
65 + -65 + -1e6x = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -1e6x = 0 + -65
-1e6x = 0 + -65

Combine like terms: 0 + -65 = -65
-1e6x = -65

Divide each side by '-1x'.
e6 = 65x-1

Simplifying
e6 = 65x-1

Combine like terms: 65x-1 + -65x-1 = 0
e6 + -65x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + -65) = 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 '(e6x + -65)' equal to zero and attempt to solve: Simplifying e6x + -65 = 0 Reorder the terms: -65 + e6x = 0 Solving -65 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + e6x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + e6x = 0 + 65 e6x = 0 + 65 Combine like terms: 0 + 65 = 65 e6x = 65 Divide each side by 'x'. e6 = 65x-1 Simplifying e6 = 65x-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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