2^n=sqrt(3^(n-2))

**:: if nothing else seems to work, try 'ln( )' on both sides:**

ln( 2^n ) = ln( sqrt(3^(n-2)) )

**:: logarithm law: ln( x^y ) => y*ln(x) ***(x,y >0)*

**:: sqrt( x ) = x^(1/2)**

n*ln(2) = ln( (3^(n-2))^(1/2) )

**:: pow law**

n*ln(2) = ln( (3^(1/2*(n-2))) )

n*ln(2) = 1/2*(n-2)*ln( 3 )

n*ln(2) = 1/2*n*ln( 3 ) - ln( 3 )

n*ln(2) - 1/2*n*ln( 3 ) = -ln( 3 )

n*( ln(2) - 1/2*ln(3) ) = -ln( 3 )

n = -ln( 3 ) / ( ln(2) - 1/2*ln(3) )

**n = -2*ln( 3 ) / ( 2*ln(2) - ln(3) )**