5e^4x=6e^6x

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


Simplifying
5e4x = 6e6x

Solving
5e4x = 6e6x

Solving for variable 'e'.

Combine like terms: 6e6x + -6e6x = 0
5e4x + -6e6x = 0

Factor out the Greatest Common Factor (GCF), 'e4x'.
e4x(5 + -6e2) = 0


Subproblem 1
Set the factor 'e4x' equal to zero and attempt to solve:

Simplifying
e4x = 0

Solving
e4x = 0

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

Simplifying
e4x = 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 '(5 + -6e2)' equal to zero and attempt to solve:

Simplifying
5 + -6e2 = 0

Solving
5 + -6e2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6e2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6e2 = 0 + -5
-6e2 = 0 + -5

Combine like terms: 0 + -5 = -5
-6e2 = -5

Divide each side by '-6'.
e2 = 0.8333333333

Simplifying
e2 = 0.8333333333

Take the square root of each side:
e = {-0.912870929, 0.912870929}
Solution
e = {-0.912870929, 0.912870929}

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