Question

If log 25 = a log 75 = b then express log 9 and log 2 interms of a and b​

Answer 1

Answer:

log 9 = 2(b - a)

and log 5 = a/2

Step-by-step explanation:

Given ,

log 25 = a

→log5² = a

→2log5 = a

→log5 = a/2

And ,

log 75 = b

→ log(25×3)=b

→log5² + log 3 = b

→ 2log5+log 3 = b

→a + log 3 = b [ since 2log5 = a]

→log3 = b - a

Now we have :

log 9

= log3²

= 2log3

= 2(b - a)

or 2b - 2a

Note : It seems like there is something wrong in the question . We are given the values : log25 = a and log 75 = b . By these values we can express log 9 and log 5 in terms of a and b . But it is impossible to express log 2 in terms of a and b with given value .