Respuesta :

mhanifa

Answer:

  • y is 100 times larger than x

===========================

Use identities

  • [tex]log (a) + log (b) = log (ab)[/tex],
  • [tex]a = log (10^a)[/tex],
  • If  [tex]log (a) = log (b)[/tex], then a = b.

Rewrite and compare

  • log (x) + 2 = log (y)
  • log (x) + log (10²) = log (y)
  • log (x) + log (100) = log (y)
  • log (100x) = log (y)
  • 100x = y
  • y = 100x

y is greater by 100 times

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