4e^5t=6e^4t

Solution for 4e^5t=6e^4t equation:

Simplifying
4e5t = 6e4t

Solving
4e5t = 6e4t

Solving for variable 'e'.

Reorder the terms:
-6e4t + 4e5t = 6e4t + -6e4t

Combine like terms: 6e4t + -6e4t = 0
-6e4t + 4e5t = 0

Factor out the Greatest Common Factor (GCF), '2e4t'.
2e4t(-3 + 2e) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'e4t' equal to zero and attempt to solve:

Simplifying
e4t = 0

Solving
e4t = 0

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

Simplifying
e4t = 0

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 '(-3 + 2e)' equal to zero and attempt to solve:

Simplifying
-3 + 2e = 0

Solving
-3 + 2e = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2e = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2e = 0 + 3
2e = 0 + 3

Combine like terms: 0 + 3 = 3
2e = 3

Divide each side by '2'.
e = 1.5

Simplifying
e = 1.5
Solution
e = {1.5}