16=8e^3x-1

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Solution for 16=8e^3x-1 equation: 


Simplifying
16 = 8e3x + -1

Reorder the terms:
16 = -1 + 8e3x

Solving
16 = -1 + 8e3x

Solving for variable 'e'.

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

Add '-8e3x' to each side of the equation.
16 + -8e3x = -1 + 8e3x + -8e3x

Combine like terms: 8e3x + -8e3x = 0
16 + -8e3x = -1 + 0
16 + -8e3x = -1

Add '-16' to each side of the equation.
16 + -16 + -8e3x = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -8e3x = -1 + -16
-8e3x = -1 + -16

Combine like terms: -1 + -16 = -17
-8e3x = -17

Divide each side by '-8x'.
e3 = 2.125x-1

Simplifying
e3 = 2.125x-1

Combine like terms: 2.125x-1 + -2.125x-1 = 0.000
e3 + -2.125x-1 = 0.000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -2.125) = 0.000


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 '(e3x + -2.125)' equal to zero and attempt to solve:

Simplifying
e3x + -2.125 = 0

Reorder the terms:
-2.125 + e3x = 0

Solving
-2.125 + e3x = 0

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

Add '2.125' to each side of the equation.
-2.125 + 2.125 + e3x = 0 + 2.125

Combine like terms: -2.125 + 2.125 = 0.000
0.000 + e3x = 0 + 2.125
e3x = 0 + 2.125

Combine like terms: 0 + 2.125 = 2.125
e3x = 2.125

Divide each side by 'x'.
e3 = 2.125x-1

Simplifying
e3 = 2.125x-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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