ihatelog
ihatelog ihatelog
  • 07-08-2019
  • Mathematics
contestada

Express y in terms of x:
log x + log y = log(1/x)

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

Respuesta :

konrad509
konrad509 konrad509
  • 07-08-2019

[tex]\log x + \log y = \log\dfrac{1}{x}\\\\\log y = \log\dfrac{1}{x}-\log x\\\\\log y = \log\dfrac{1}{x^2}\\\\y=\dfrac{1}{x^2}[/tex]

Answer Link
Аноним Аноним
  • 07-08-2019

Answer:

y = 1/x^2.

Step-by-step 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 Link

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