The graph below shows the distance, y, in miles, of a bee from its hive, for a certain amount of time, x, in minutes:Based on th
e graph, what is the initial value of the graph and what does it represent?
0.4 mile per minute; it represents the speed of the bee
0.4 mile; it represents the original distance of the bee from its hive
4 miles; it represents the original distance of the bee from its hive
4 miles per minute; it represents the speed of the bee
0.4 mile per minute; it represents the speed of the bee
0.4 mile; it represents the original distance of the bee from its hive
4 miles; it represents the original distance of the bee from its hive
4 miles per minute; it represents the speed of the bee
2 answers:
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Answer:
b = 6.79
Step-by-step explanation:
Data provided:
logb(5) = 0.84
Now,
From the properties of log function
logₓ (z)= (where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
Thus,
logb(5) = 0.84
⇒ = 0.84
or
log(5) = 0.84 × log(b)
or
log(5) = (as log(xⁿ) = n × log(x) )
taking the anti-log both sides
we get
5 =
or
b = 6.79