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: Least to greatest, 8.357, 8.409, 8.41, 8.458, 8.47, 8.5
Step-by-step explanation:
Answer:
<OMP = 76 degrees
Step-by-step explanation:
since LMN is a straight angle, the angles must all add up to 180 degrees.
so 37 + 67 = 104
180 - 104=76 degrees
Answer:
a. 2,440 km
b. 
Step-by-step explanation:
a. Diameter of Mercury = 
Radius of Mercury = ½ of its diameter = 
Radius of Mercury = 
To convert the radius to ordinary number, multiply 2.44 by 1,000.
Radius of Mercury as an ordinary number = 
b. Mass of Jupiter = 
Mass of Saturn = 
Difference between mass of Jupiter and mass of Saturn = 
(subtract 5.68 from 1.898 = 5.68. we would retain the largest exponent, which is raised to the lower of 27.)
K= 8. If you look at the pattern each x value is multiplied by 8 to give you the y value. You could also solve it by:
40=k5
40/5=k
8=k
you could do this with any of the x or y values and still end up with 8.
