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2 years ago

Need Help. The question is down below

Mathematics

1 answer:

madreJ [45]2 years ago

4 0

Useful Log Rules:

log(A*B) = log(A)+log(B) .......... log rule 1
log(A/B) = log(A) - log(B) .......... log rule 2
log(A^B) = B*log(A) ................... log rule 3

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

Part (a)

All logs shown below are base 3.

log(500) = log(5*100)

log(500) = log(5*10^2)

log(500) = log(5)+log(10^2) .... use log rule 1

log(500) = log(5) + 2*log(10) .... use log rule 3

log(500) = 1.4650 + 2*2.096 ....... substitution

log(500) = 5.657

<h3>Answer: 5.657</h3>

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

Part (b)

All logs shown below are base 3.

log(2) = log(10/5)

log(2) = log(10) - log(5) .... use log rule 2

log(2) = 2.096 - 1.4650 ....... substitution

log(2) = 0.631

<h3>Answer: 0.631</h3>

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