6=e^5k

Solution for 6=e^5k equation:

Simplifying
6 = e5k

Solving
6 = e5k

Solving for variable 'e'.

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

Add '-1e5k' to each side of the equation.
6 + -1e5k = e5k + -1e5k

Combine like terms: e5k + -1e5k = 0
6 + -1e5k = 0

Add '-6' to each side of the equation.
6 + -6 + -1e5k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1e5k = 0 + -6
-1e5k = 0 + -6

Combine like terms: 0 + -6 = -6
-1e5k = -6

Divide each side by '-1k'.
e5 = 6k-1

Simplifying
e5 = 6k-1

Combine like terms: 6k-1 + -6k-1 = 0
e5 + -6k-1 = 0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e5k + -6) = 0

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

Simplifying
k-1 = 0

Solving
k-1 = 0

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

Add '-1k-1' to each side of the equation.
k-1 + -1k-1 = 0 + -1k-1
Remove the zero:
0 = -1k-1

Simplifying
0 = -1k-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 '(e5k + -6)' equal to zero and attempt to solve:

Simplifying
e5k + -6 = 0

Reorder the terms:
-6 + e5k = 0

Solving
-6 + e5k = 0

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

Add '6' to each side of the equation.
-6 + 6 + e5k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + e5k = 0 + 6
e5k = 0 + 6

Combine like terms: 0 + 6 = 6
e5k = 6

Divide each side by 'k'.
e5 = 6k-1

Simplifying
e5 = 6k-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.