100=e^7k

Solution for 100=e^7k equation:

Simplifying
100 = e7k

Solving
100 = e7k

Solving for variable 'e'.

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

Add '-1e7k' to each side of the equation.
100 + -1e7k = e7k + -1e7k

Combine like terms: e7k + -1e7k = 0
100 + -1e7k = 0

Add '-100' to each side of the equation.
100 + -100 + -1e7k = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1e7k = 0 + -100
-1e7k = 0 + -100

Combine like terms: 0 + -100 = -100
-1e7k = -100

Divide each side by '-1k'.
e7 = 100k-1

Simplifying
e7 = 100k-1

Combine like terms: 100k-1 + -100k-1 = 0
e7 + -100k-1 = 0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e7k + -100) = 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 '(e7k + -100)' equal to zero and attempt to solve:

Simplifying
e7k + -100 = 0

Reorder the terms:
-100 + e7k = 0

Solving
-100 + e7k = 0

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

Add '100' to each side of the equation.
-100 + 100 + e7k = 0 + 100

Combine like terms: -100 + 100 = 0
0 + e7k = 0 + 100
e7k = 0 + 100

Combine like terms: 0 + 100 = 100
e7k = 100

Divide each side by 'k'.
e7 = 100k-1

Simplifying
e7 = 100k-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.