125=e^3x

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Solution for 125=e^3x equation: 


Simplifying
125 = e3x

Solving
125 = e3x

Solving for variable 'e'.

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

Add '-1e3x' to each side of the equation.
125 + -1e3x = e3x + -1e3x

Combine like terms: e3x + -1e3x = 0
125 + -1e3x = 0

Add '-125' to each side of the equation.
125 + -125 + -1e3x = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -1e3x = 0 + -125
-1e3x = 0 + -125

Combine like terms: 0 + -125 = -125
-1e3x = -125

Divide each side by '-1x'.
e3 = 125x-1

Simplifying
e3 = 125x-1

Combine like terms: 125x-1 + -125x-1 = 0
e3 + -125x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -125) = 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 '(e3x + -125)' equal to zero and attempt to solve:

Simplifying
e3x + -125 = 0

Reorder the terms:
-125 + e3x = 0

Solving
-125 + e3x = 0

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

Add '125' to each side of the equation.
-125 + 125 + e3x = 0 + 125

Combine like terms: -125 + 125 = 0
0 + e3x = 0 + 125
e3x = 0 + 125

Combine like terms: 0 + 125 = 125
e3x = 125

Divide each side by 'x'.
e3 = 125x-1

Simplifying
e3 = 125x-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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