3e^4x=7

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Solution for 3e^4x=7 equation: 


Simplifying
3e4x = 7

Solving
3e4x = 7

Solving for variable 'e'.

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

Divide each side by '3x'.
e4 = 2.333333333x-1

Simplifying
e4 = 2.333333333x-1

Combine like terms: 2.333333333x-1 + -2.333333333x-1 = 0.000000000
e4 + -2.333333333x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -2.333333333) = 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 + -2.333333333)' equal to zero and attempt to solve:

Simplifying
e4x + -2.333333333 = 0

Reorder the terms:
-2.333333333 + e4x = 0

Solving
-2.333333333 + e4x = 0

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

Add '2.333333333' to each side of the equation.
-2.333333333 + 2.333333333 + e4x = 0 + 2.333333333

Combine like terms: -2.333333333 + 2.333333333 = 0.000000000
0.000000000 + e4x = 0 + 2.333333333
e4x = 0 + 2.333333333

Combine like terms: 0 + 2.333333333 = 2.333333333
e4x = 2.333333333

Divide each side by 'x'.
e4 = 2.333333333x-1

Simplifying
e4 = 2.333333333x-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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