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Allushta [10]
3 years ago
8

If log 5 = p and log 2=q then log 200 can be written in terms of p and q as?

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0
<h3>Answer:  2p + 3q</h3>

Work Shown:

log(200) = log(2^3*5^2)

log(200) = log(2^3) + log(5^2)

log(200) = 3*log(2) + 2*log(5)

log(200) = 3*q + 2*p

log(200) = 2p + 3q

The log rules I used were

log(A*B) = log(A)+log(B)

log(A^B) = B*log(A)

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