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

Solution for 2*a*ln(x)+ln(y)=ln(3) equation:

Simplifying
2a * ln(x) + ln(y) = ln(3)

Multiply a * ln
2aln * x + ln(y) = ln(3)

Multiply aln * x
2alnx + ln(y) = ln(3)

Multiply ln * y
2alnx + lny = ln(3)

Reorder the terms for easier multiplication:
2alnx + lny = 3ln

Solving
2alnx + 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.
2alnx + lny + -1lny = 3ln + -1lny

Combine like terms: lny + -1lny = 0
2alnx + 0 = 3ln + -1lny
2alnx = 3ln + -1lny

Divide each side by '2lnx'.
a = 1.5x-1 + -0.5x-1y

Simplifying
a = 1.5x-1 + -0.5x-1y