Question

3. Log(x) +2= log(y) Which is larger x or y and by how much?​

Answer 1

• y is 100 times larger than x

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Use identities

• 
  `log (a) + log (b) = log (ab)`,
• 
  `a = log (10^a)`,
• If
  `log (a) = log (b)`, 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