Question

Given log (x³y²) = 9 and log(x/y)=2, find log x, log y​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

x:- 13/5 and y:-3/5

Step-by-step explanation:

log (x³y²) = 9

log x³ + log y² = 9

3 log x + 2 log y = 9 ———(i)

(x/y) = 2

log x - log y = 2 ——— (ii)

Multiplying (ii) with 3

3 log x - 3 log y = 6 ———(iii)

subtract (i) with (iii)

3 log x + 2 log y = 9

3 log x - 3 log y = 6

_______________

- + -

_______________

5 log y = 3

log y = 3/5

substituting (log y) value in equation (ii). ( because

it will be

easy to do)

log x - log y = 2

log x - 3/5 = 2

log x = 2 + 3/5

log x = 13/5

•°• x = 13/5

&

y = 3/5