e^7x=1.5

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Solution for e^7x=1.5 equation: 


Simplifying
e7x = 1.5

Solving
e7x = 1.5

Solving for variable 'e'.

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

Divide each side by 'x'.
e7 = 1.5x-1

Simplifying
e7 = 1.5x-1

Combine like terms: 1.5x-1 + -1.5x-1 = 0.0
e7 + -1.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + -1.5) = 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 '(e7x + -1.5)' equal to zero and attempt to solve:

Simplifying
e7x + -1.5 = 0

Reorder the terms:
-1.5 + e7x = 0

Solving
-1.5 + e7x = 0

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + e7x = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + e7x = 0 + 1.5
e7x = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
e7x = 1.5

Divide each side by 'x'.
e7 = 1.5x-1

Simplifying
e7 = 1.5x-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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