Question

If log x2y3 = a and log x/y = b, then
log x/log y is equal to​

Answer 1

Answer:

log(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)

Step-by-step explanation:

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