3e^5x=128

Solution for 3e^5x=128 equation:

Simplifying
3e5x = 128

Solving
3e5x = 128

Solving for variable 'e'.

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

Divide each side by '3x'.
e5 = 42.66666667x-1

Simplifying
e5 = 42.66666667x-1

Combine like terms: 42.66666667x-1 + -42.66666667x-1 = 0.00000000
e5 + -42.66666667x-1 = 0.00000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -42.66666667) = 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 '(e5x + -42.66666667)' equal to zero and attempt to solve:

Simplifying
e5x + -42.66666667 = 0

Reorder the terms:
-42.66666667 + e5x = 0

Solving
-42.66666667 + e5x = 0

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

Add '42.66666667' to each side of the equation.
-42.66666667 + 42.66666667 + e5x = 0 + 42.66666667

Combine like terms: -42.66666667 + 42.66666667 = 0.00000000
0.00000000 + e5x = 0 + 42.66666667
e5x = 0 + 42.66666667

Combine like terms: 0 + 42.66666667 = 42.66666667
e5x = 42.66666667

Divide each side by 'x'.
e5 = 42.66666667x-1

Simplifying
e5 = 42.66666667x-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.