ln(e^4x-3)=17

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Solution for ln(e^4x-3)=17 equation:


Simplifying
ln(e4x + -3) = 17

Reorder the terms:
ln(-3 + e4x) = 17
(-3 * ln + e4x * ln) = 17

Reorder the terms:
(e4lnx + -3ln) = 17
(e4lnx + -3ln) = 17

Solving
e4lnx + -3ln = 17

Solving for variable 'e'.

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

Add '3ln' to each side of the equation.
e4lnx + -3ln + 3ln = 17 + 3ln

Combine like terms: -3ln + 3ln = 0
e4lnx + 0 = 17 + 3ln
e4lnx = 17 + 3ln

Divide each side by 'lnx'.
e4 = 17l-1n-1x-1 + 3x-1

Simplifying
e4 = 17l-1n-1x-1 + 3x-1

Reorder the terms:
e4 + -17l-1n-1x-1 + -3x-1 = 17l-1n-1x-1 + -17l-1n-1x-1 + 3x-1 + -3x-1

Combine like terms: 17l-1n-1x-1 + -17l-1n-1x-1 = 0
e4 + -17l-1n-1x-1 + -3x-1 = 0 + 3x-1 + -3x-1
e4 + -17l-1n-1x-1 + -3x-1 = 3x-1 + -3x-1

Combine like terms: 3x-1 + -3x-1 = 0
e4 + -17l-1n-1x-1 + -3x-1 = 0

The solution to this equation could not be determined.

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