Question

If 2^x5^y=500, then find x+y

Answer 1

Answer:

answer is x+y = 5

Step-by-step explanation:

Given 2^x . 5^y = 500 ...............i)

taking RHS

500= 2×2×5×5×5

500 = 2^2 .5^3

from first equation

2^x .5^y = 2^2.5^3

comparing the above data

we get x=2 and y= 3

Therefore (x+y)=(2+3)=5