xe^5+3ln(6)=14

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Solution for xe^5+3ln(6)=14 equation:


Simplifying
xe5 + 3ln(6) = 14

Reorder the terms for easier multiplication:
e5x + 3 * 6ln = 14

Multiply 3 * 6
e5x + 18ln = 14

Solving
e5x + 18ln = 14

Solving for variable 'e'.

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

Add '-18ln' to each side of the equation.
e5x + 18ln + -18ln = 14 + -18ln

Combine like terms: 18ln + -18ln = 0
e5x + 0 = 14 + -18ln
e5x = 14 + -18ln

Divide each side by 'x'.
e5 = 14x-1 + -18lnx-1

Simplifying
e5 = 14x-1 + -18lnx-1

Reorder the terms:
e5 = -18lnx-1 + 14x-1

Reorder the terms:
e5 + 18lnx-1 + -14x-1 = -18lnx-1 + 18lnx-1 + 14x-1 + -14x-1

Combine like terms: -18lnx-1 + 18lnx-1 = 0
e5 + 18lnx-1 + -14x-1 = 0 + 14x-1 + -14x-1
e5 + 18lnx-1 + -14x-1 = 14x-1 + -14x-1

Combine like terms: 14x-1 + -14x-1 = 0
e5 + 18lnx-1 + -14x-1 = 0

The solution to this equation could not be determined.

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