" Solve ":8^(x+1)=16^(y+2)" and "((1)/(2))^(3+x)=((1)/(4))^(3y)

Solve the following equations: (i) 3^(x+1)=27 xx 3^4 (ii)4^(2x)=(16 3)^(-6/y)=(sqrt(8))^2 (iii) 3^(x-1) xx 5^(2y-3)=225 (iv) 8^(x+1)=16^(x+2) and, (v) (1/2)^(3+x)=(1/4)^(3y) 4^(x-1) xx (0. 5)^(3-2x)=(1/8)^x sqrt(a/b)=(b/a)^(1-2x ) , where a , b are distinct positive primes.

Solve : (1)/(2x)+(1)/(4y)-(1)/(3z)=(1)/(4),(1)/(x)=(1)/(3y),(1)/(x)-(1)/(5y)+(4)/(z)=2 (2)/(15)

Solve for x and y : (x+1)/(2)+(y-1)/(3)=9, (x-1)/(3)+(y+1)/(2)=8 .

Solve for x and y (2)/(x)+(2)/(3y)=(1)/(6),(3)/(x)+(2)/(y)=0

Solve:(1)/(2(2x+3y))+(12)/(7(3x-2y))=(1)/(2)(7)/(2x+3y)+(4)/(3x-2y)=2 where 2x+3y!=0 and 3x-2y!=0

Solve for x and y (3x-y)/(5)=2y-1, (3x)/(8)-(y)/(4)=(1)/(2)

Solve for (x - 1)^(2) and (y + 3)^(2) , 2x^(2) - 5y^(2) - x - 27y - 26 = 3(x + y + 5) and 4x^(2) - 3y^(2) - 2xy + 2x - 32y - 16 = (x - y + 4)^(2) .

Solve : 5^x+3^y=8, 5^(x-1)+3^(y-1)=2 .