2e^7t=3e^6t

Solution for 2e^7t=3e^6t equation:

Simplifying
2e7t = 3e6t

Solving
2e7t = 3e6t

Solving for variable 'e'.

Reorder the terms:
-3e6t + 2e7t = 3e6t + -3e6t

Combine like terms: 3e6t + -3e6t = 0
-3e6t + 2e7t = 0

Factor out the Greatest Common Factor (GCF), 'e6t'.
e6t(-3 + 2e) = 0

Subproblem 1
Set the factor 'e6t' equal to zero and attempt to solve:

Simplifying
e6t = 0

Solving
e6t = 0

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

Simplifying
e6t = 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}