Question

If log(x²y³)=a log(x/y)=b find logx and logy in terms of a and b
​

Answer 1

Answer:

og(x

2

y

3

)=a−−(1)

log

y

x

=b−−(2)

Eq (1) ⇒log(x

2

y

3

)=a

⇒2logx+3logy=a

Eq (2) ⇒log(

y

x

)=b

⇒logx−logy=b

Solving both the equations gives

logx=

5

1

(a+3b),logy=

5

1

(a−2b)

Answer 2

54+344×5455÷5444×666+5566×6666×6666×765+56×67×76+66÷777×67÷86+87÷67×88÷88+78×78-8778