cookiecatlennon23 cookiecatlennon23

16-09-2022
Mathematics

Answered

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

Answer :

mhanifa mhanifa

17-09-2022

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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