xln(5)-5ln(5)=ln(16)+3x+2

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Solution for xln(5)-5ln(5)=ln(16)+3x+2 equation:


Simplifying
xln(5) + -5ln(5) = ln(16) + 3x + 2

Reorder the terms for easier multiplication:
5lnx + -5ln(5) = ln(16) + 3x + 2

Reorder the terms for easier multiplication:
5lnx + -5 * 5ln = ln(16) + 3x + 2

Multiply -5 * 5
5lnx + -25ln = ln(16) + 3x + 2

Reorder the terms:
-25ln + 5lnx = ln(16) + 3x + 2

Reorder the terms for easier multiplication:
-25ln + 5lnx = 16ln + 3x + 2

Reorder the terms:
-25ln + 5lnx = 2 + 16ln + 3x

Solving
-25ln + 5lnx = 2 + 16ln + 3x

Solving for variable 'l'.

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

Add '-16ln' to each side of the equation.
-25ln + -16ln + 5lnx = 2 + 16ln + -16ln + 3x

Combine like terms: -25ln + -16ln = -41ln
-41ln + 5lnx = 2 + 16ln + -16ln + 3x

Combine like terms: 16ln + -16ln = 0
-41ln + 5lnx = 2 + 0 + 3x
-41ln + 5lnx = 2 + 3x

Reorder the terms:
-2 + -41ln + 5lnx + -3x = 2 + 3x + -2 + -3x

Reorder the terms:
-2 + -41ln + 5lnx + -3x = 2 + -2 + 3x + -3x

Combine like terms: 2 + -2 = 0
-2 + -41ln + 5lnx + -3x = 0 + 3x + -3x
-2 + -41ln + 5lnx + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -41ln + 5lnx + -3x = 0

The solution to this equation could not be determined.

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