2e^8x=75

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Solution for 2e^8x=75 equation: 


Simplifying
2e8x = 75

Solving
2e8x = 75

Solving for variable 'e'.

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

Divide each side by '2x'.
e8 = 37.5x-1

Simplifying
e8 = 37.5x-1

Combine like terms: 37.5x-1 + -37.5x-1 = 0.0
e8 + -37.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e8x + -37.5) = 0.0


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 '(e8x + -37.5)' equal to zero and attempt to solve:

Simplifying
e8x + -37.5 = 0

Reorder the terms:
-37.5 + e8x = 0

Solving
-37.5 + e8x = 0

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

Add '37.5' to each side of the equation.
-37.5 + 37.5 + e8x = 0 + 37.5

Combine like terms: -37.5 + 37.5 = 0.0
0.0 + e8x = 0 + 37.5
e8x = 0 + 37.5

Combine like terms: 0 + 37.5 = 37.5
e8x = 37.5

Divide each side by 'x'.
e8 = 37.5x-1

Simplifying
e8 = 37.5x-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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