Question

Pls tell the answer for this sum and Also properly Explain. Pls

Answer 1

This is the solution to this question.... Similarly you can try the b part...

Answer 2

a)25^x=5^(y-1)
   (5^2)^x=5^(y-1)
  5^2x=5^(y-1)
  we know that if bases are equal then exponents are also equal
2x=y-1
2x+1=y let this eq be (1)
now consider (32)^y =4*8^x
                           (2^5)^y=2^2*(2^3)^x
                             2^5y=2^2*2^3x
                             2^5y=2^2+3x
                           =>5y=2+3x
                           =>3x-5y=-2 let it be (2)
 now multiplying eq (1) with 5
then it will be 10x-5y=-5 let it be (3)
now subtracting (3) from  (2)
 =>3x-5y-(10x-5y)=-2-5
=>3x-5y-10x+5y=-7
-7x=-7
x=1
substituting the value ox x in (1)
then 2(1)+1=y
            y=3
similarly try another problem