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
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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>
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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>
Answer:
what
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given

Required
Solve

Turn division to multiplication


Answer:
A
Step-by-step explanation:
The total class is 10
the number of girls is 7
ratio of girls to total students - 7:10
Answer: 15 boxes
Step-by-step explanation:
From the question, we are informed that Denise wants to cover a 21.75 square foot wall with weathered wood and that each box of weathered wood contains 1.5 square feet of wood.
The number of boxes of weathered wood that she need will be calculated by dividing 21.75 square feet by 1.5 square feet. This will be:
= 21.75/1.5
= 14.5
= 15 boxes approximately