-3*a*ln(x)+ln(y)=ln(3)

Solution for -3*a*ln(x)+ln(y)=ln(3) equation:

Simplifying
-3a * ln(x) + ln(y) = ln(3)

Multiply a * ln
-3aln * x + ln(y) = ln(3)

Multiply aln * x
-3alnx + ln(y) = ln(3)

Multiply ln * y
-3alnx + lny = ln(3)

Reorder the terms for easier multiplication:
-3alnx + lny = 3ln

Solving
-3alnx + lny = 3ln

Solving for variable 'a'.

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

Add '-1lny' to each side of the equation.
-3alnx + lny + -1lny = 3ln + -1lny

Combine like terms: lny + -1lny = 0
-3alnx + 0 = 3ln + -1lny
-3alnx = 3ln + -1lny

Divide each side by '-3lnx'.
a = -1x-1 + 0.3333333333x-1y

Simplifying
a = -1x-1 + 0.3333333333x-1y