4(e^3x)=5

Solution for 4(e^3x)=5 equation:

Simplifying
4(e3x) = 5

Solving
4e3x = 5

Solving for variable 'e'.

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

Divide each side by '4x'.
e3 = 1.25x-1

Simplifying
e3 = 1.25x-1

Combine like terms: 1.25x-1 + -1.25x-1 = 0.00
e3 + -1.25x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -1.25) = 0.00

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 + -1.25)' equal to zero and attempt to solve:

Simplifying
e3x + -1.25 = 0

Reorder the terms:
-1.25 + e3x = 0

Solving
-1.25 + e3x = 0

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + e3x = 0 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + e3x = 0 + 1.25
e3x = 0 + 1.25

Combine like terms: 0 + 1.25 = 1.25
e3x = 1.25

Divide each side by 'x'.
e3 = 1.25x-1

Simplifying
e3 = 1.25x-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.