42=8e^4x

Solution for 42=8e^4x equation:

Simplifying
42 = 8e4x

Solving
42 = 8e4x

Solving for variable 'e'.

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

Add '-8e4x' to each side of the equation.
42 + -8e4x = 8e4x + -8e4x

Combine like terms: 8e4x + -8e4x = 0
42 + -8e4x = 0

Add '-42' to each side of the equation.
42 + -42 + -8e4x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -8e4x = 0 + -42
-8e4x = 0 + -42

Combine like terms: 0 + -42 = -42
-8e4x = -42

Divide each side by '-8x'.
e4 = 5.25x-1

Simplifying
e4 = 5.25x-1

Combine like terms: 5.25x-1 + -5.25x-1 = 0.00
e4 + -5.25x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -5.25) = 0.00

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

Simplifying
x-1 = 0

Solving
x-1 = 0

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

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

Simplifying
0 = -1x-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 '(e4x + -5.25)' equal to zero and attempt to solve:

Simplifying
e4x + -5.25 = 0

Reorder the terms:
-5.25 + e4x = 0

Solving
-5.25 + e4x = 0

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

Add '5.25' to each side of the equation.
-5.25 + 5.25 + e4x = 0 + 5.25

Combine like terms: -5.25 + 5.25 = 0.00
0.00 + e4x = 0 + 5.25
e4x = 0 + 5.25

Combine like terms: 0 + 5.25 = 5.25
e4x = 5.25

Divide each side by 'x'.
e4 = 5.25x-1

Simplifying
e4 = 5.25x-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.