Question

if 5^{2x-1}-25^{x-1}=2500 find x​

Answer 1

ANSWER   x=3

EXPLANATION

    5^(2x+1)-25^(x-1)=2500

=>5^(2x-1)-5^(2x-2)=5^4*2^2

=>5^(2x-1)[1-5^(-1)]=5^4*2^2

=>5^(2x-1)[1-1/5]=5^4*2^2

=>5^(2x-1)*4/5=5^4*2^2

=>5^(2x-1)=5^4*2^2*5/4

=>5^(2x-1)=5^5

ON COMPARING BOTH SIDES

    2x-1=5

=>2x=5+1

=>2x=6

=>x=6/2

=>x=3