Answer:
logₐ(8) = 0.903
Step-by-step explanation:
logₐ(8) = logₐ(2)³
= 3logₐ(2) [Since, 
]
= 3(0.301) [Given → log(2) = 0.301]
= 0.903
Therefore, logₐ(8) = 0.903 is the answer.
Answer:
Expand
2b + 3 = 2 -3b -9
Correct like terms
2b + 3 = 3b - 7
Move 2b to the otherside as a negative number and -7 to the otherside positive number.
-4 = -5b
Divide both sides by negative five
b is equal to 4/5
Step-by-step explanation:
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Answer:
5 1/2
Step-by-step explanation:
9 3/5 - 4 1/10
First you need to get common denominator, as we see that we need to get the 5 from the 3/5 to ten, so we multiply 3/5 by 2 on both of the numerator and denominator and you will get 6/10. So the new fraction would be 9 6/10 - 4 1/10 = which would be subtractable. Therefore the answer would be 5 5/10 which equals
5 1/2
You need to know and have memorized metric unit conversions. They are easy, you just need to know how many zeros to add.
1 cm = 10 mm
1 m = 1000 mm
1 m = 100 cm
1 km = 1000 m
(1.) 4m + 3cm = 400cm + 3cm = 403cm
(2.) 3km + 8m = 3000m + 8m = 3008m
(3.) 7cm + 9mm = 70mm + 9mm = 79mm
(4.) 1m + 5cm = 100cm + 5cm = 105cm
(5.) 5km + 5m = 5000m + 5m = 5005m
Do you see that to switch 5km to smaller unit meters you just add the zeros on to the end. Because 1km = 1000m ; 5km = 5000m
You try the rest. let me know if you have any questions.
