Question

Express y in terms of x:

log x + log y = log(1/x)

P.S. Base is 10
Please show working out.
Thanks.

Answer 1

y = 1/x^2.

Explanation:

log x + log y = log(1/x)

log y = log(1/x) - log x

Using the rule log a - log b = log a/b, we have:

log y = log ( 1/x / x)

log y = log (1/x^2)

So y = 1/x^2.

Answer 2

`\log x + \log y = \log(1)/(x)\\\\\log y = \log(1)/(x)-\log x\\\\\log y = \log(1)/(x^2)\\\\y=(1)/(x^2)`