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>
1/20 is equal to what fraction?
1*5 = 5
20*5 = 100
5/100 >>>>> 5%
Answer: 5%
Answer:
y = 3x +2
Step-by-step explanation:
The first answer
To solve this you just need to convert this equation to slope intercept form to do this you just need to isolate y. To isolate -3y subtract 9x from both sides and your problem should look something like this 3y = -9x + 15 the -9 is the slope but you need to simplify that in order to do that divide both sides of the problem by 3 now your problem should look like this y = 3x + 5. The answer is B or positive 3
