Answer:
- y is 100 times larger than x
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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
