Question

a) prove that log(99/35)=log11+2log3-log5-log7.
(or)

b) if p^2+q^2-7pq=0, show that 2 log(p+q/3)=log p+ log q. ​

Answer 1

Step-by-step explanation:

Identify the soil with the help of the following features. Made up of extremely fine clay material This type of soil is typical of the Deccan trap (Basalt) region.It is well-known for its capacity to hold moisture.

Answer 2

Answer:

a) taking LHS

=>log(99/35) {we know log(a/b)=log(a)-log(b)}

=>log(99) - log(35)

=>log(11*3*3) - log(5*7)

{we know log(a*b)=log(a) + log(b) }

=>log(11)+log(3)+log(3) - (log(5) +log(7))

=>log(11)+2*log(3)-log(5)-log(7) = RHS

Hence proved

b)