Question

if 3+log5 x=2.log25 y then find the value of 'x' in terms of 'y'​

Answer 1

Answer:

x = y / 125

Step-by-step explanation:

Given :

3 + log₅ x = 2 log₂₅ y

= > 3 + log₅ x = 2 / 2 log₅ y

= > 3 + log₅ x = log₅ y

We can write 3 as ' 3 log₅ 5 ' :

= > 3 log₅ 5 + log₅ x = log₅ y

= >  log₅ 5³ + log₅ x = log₅ y

= > log₅ 125 + log₅ x = log₅ y

= > log₅ 125 x = log₅ y

= > y = 125 x

= > x = y / 125

Hence we get required answer!