Solve `3^(x-1)xx5^(2y-3)=225`

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 : 2^(x)+3^(y)=17,2^(x+2)-3^(y+1)=5

Solve for x:5^(2x)-16.5^(x)-225=0

Solve: 2^(x) + 3^(y) = 17, 2^(x+2) - 3^(y+1) = 5

Solve: 2x+y=5,3x-2y=4

Solve: x(1-x^2)dy+(2x^2y-y-5x^3)dx=0 .

Solve x(1-x^2)dy+(2x^2y-y-5x^3)dx=0

If 5^(x-3).3^(2x-8)=225 , find x

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