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>
If RY + YC = RC
7x+4=10x-2
3x=6
x=2
18+18=36=RC
The value of RC is 36
Answer:
3*w
Step-by-step explanation:
Kamilah now weighs the triple of what she weighed on her first birthday. That means we need to multiply the first weight by 3. As the first weight is w, she now weighs 3*w.
Another possible expression is to sum 3 times w, that is w + w + w (it's equal to 3*w).
