ln(6)+4x-9-ln(9)=1

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Solution for ln(6)+4x-9-ln(9)=1 equation:


Simplifying
ln(6) + 4x + -9 + -1ln(9) = 1

Reorder the terms for easier multiplication:
6ln + 4x + -9 + -1ln(9) = 1

Reorder the terms for easier multiplication:
6ln + 4x + -9 + -1 * 9ln = 1

Multiply -1 * 9
6ln + 4x + -9 + -9ln = 1

Reorder the terms:
-9 + 6ln + -9ln + 4x = 1

Combine like terms: 6ln + -9ln = -3ln
-9 + -3ln + 4x = 1

Solving
-9 + -3ln + 4x = 1

Solving for variable 'l'.

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

Add '9' to each side of the equation.
-9 + -3ln + 9 + 4x = 1 + 9

Reorder the terms:
-9 + 9 + -3ln + 4x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + -3ln + 4x = 1 + 9
-3ln + 4x = 1 + 9

Combine like terms: 1 + 9 = 10
-3ln + 4x = 10

Add '-4x' to each side of the equation.
-3ln + 4x + -4x = 10 + -4x

Combine like terms: 4x + -4x = 0
-3ln + 0 = 10 + -4x
-3ln = 10 + -4x

Divide each side by '-3n'.
l = -3.333333333n-1 + 1.333333333n-1x

Simplifying
l = -3.333333333n-1 + 1.333333333n-1x

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