In the first generation there are 4 monkeys on an island. Every generation after that the monkey population doubles. In generati
on 2 there are 8 monkeys, in generation 3 there are 16 monkeys, and so on. Which explicit formula can be used to find the number of monkeys in the nth generation?
1 answer:
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There you go... a. 10
If we add x to both sides, we get rid of the x on the right side which leaves us 1/2x + 2 = 7. (1/2=0.5)
Then if we substract 2 from both sides, we will get 1/2x = 5
If half of x = 5, then the whole of x = 10.
If we add x to both sides, we get rid of the x on the right side which leaves us 1/2x + 2 = 7. (1/2=0.5)
Then if we substract 2 from both sides, we will get 1/2x = 5
If half of x = 5, then the whole of x = 10.
Answer:
x = 0.125
Step-by-step explanation:
Given:
log₃(x²) = 1
Now,
From the properties of log
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
therefore,
the given equation can be deduced as:
log₃(x²) = 1
or
2log₃(x) = 1
or
log₃(x) = 0.5
into,
x = 0.5³
or
x = 0.125