3e^4x=26

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Solution for 3e^4x=26 equation: 


Simplifying
3e4x = 26

Solving
3e4x = 26

Solving for variable 'e'.

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

Divide each side by '3x'.
e4 = 8.666666667x-1

Simplifying
e4 = 8.666666667x-1

Combine like terms: 8.666666667x-1 + -8.666666667x-1 = 0.000000000
e4 + -8.666666667x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -8.666666667) = 0.000000000


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 + -8.666666667)' equal to zero and attempt to solve:

Simplifying
e4x + -8.666666667 = 0

Reorder the terms:
-8.666666667 + e4x = 0

Solving
-8.666666667 + e4x = 0

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

Add '8.666666667' to each side of the equation.
-8.666666667 + 8.666666667 + e4x = 0 + 8.666666667

Combine like terms: -8.666666667 + 8.666666667 = 0.000000000
0.000000000 + e4x = 0 + 8.666666667
e4x = 0 + 8.666666667

Combine like terms: 0 + 8.666666667 = 8.666666667
e4x = 8.666666667

Divide each side by 'x'.
e4 = 8.666666667x-1

Simplifying
e4 = 8.666666667x-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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