e^5x=7.8

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Solution for e^5x=7.8 equation:


Simplifying
e5x = 7.8

Solving
e5x = 7.8

Solving for variable 'e'.

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

Divide each side by 'x'.
e5 = 7.8x-1

Simplifying
e5 = 7.8x-1

Combine like terms: 7.8x-1 + -7.8x-1 = 0.0
e5 + -7.8x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -7.8) = 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 '(e5x + -7.8)' equal to zero and attempt to solve: Simplifying e5x + -7.8 = 0 Reorder the terms: -7.8 + e5x = 0 Solving -7.8 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '7.8' to each side of the equation. -7.8 + 7.8 + e5x = 0 + 7.8 Combine like terms: -7.8 + 7.8 = 0.0 0.0 + e5x = 0 + 7.8 e5x = 0 + 7.8 Combine like terms: 0 + 7.8 = 7.8 e5x = 7.8 Divide each side by 'x'. e5 = 7.8x-1 Simplifying e5 = 7.8x-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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