Question

If log(x²y³) =a and log x:y=b, find log x and log y in terms of a and b​

Answer 1

Answer:

Step-by-step explanation:

log (x^2y^3)=a

=> logx^2 + logy^3=a

=> 2logx+ 3logy=a --------------(1)

again,

log (x/y)=b

=> logx-logy=b ----------------(2)

now ,

solve both equation (1) and (2)

hence ,

logx=(a+3b)/5

and put logx value in equation (1)

logy =(a-2b)/5

Answer 2

Answer:

logx= (3b+a)/5; logy= (a-2b)/5;

Step-by-step explanation:

See the image!

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