8=e^3r

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Solution for 8=e^3r equation: 


Simplifying
8 = e3r

Solving
8 = e3r

Solving for variable 'e'.

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

Add '-1e3r' to each side of the equation.
8 + -1e3r = e3r + -1e3r

Combine like terms: e3r + -1e3r = 0
8 + -1e3r = 0

Add '-8' to each side of the equation.
8 + -8 + -1e3r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1e3r = 0 + -8
-1e3r = 0 + -8

Combine like terms: 0 + -8 = -8
-1e3r = -8

Divide each side by '-1r'.
e3 = 8r-1

Simplifying
e3 = 8r-1

Combine like terms: 8r-1 + -8r-1 = 0
e3 + -8r-1 = 0

Factor out the Greatest Common Factor (GCF), 'r-1'.
r-1(e3r + -8) = 0


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

Simplifying
r-1 = 0

Solving
r-1 = 0

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

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

Simplifying
0 = -1r-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 '(e3r + -8)' equal to zero and attempt to solve:

Simplifying
e3r + -8 = 0

Reorder the terms:
-8 + e3r = 0

Solving
-8 + e3r = 0

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

Add '8' to each side of the equation.
-8 + 8 + e3r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + e3r = 0 + 8
e3r = 0 + 8

Combine like terms: 0 + 8 = 8
e3r = 8

Divide each side by 'r'.
e3 = 8r-1

Simplifying
e3 = 8r-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.

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