To solve this problem you must apply the proccedure shown below:
1. You have the following logarithm:
<span>log(2)n=4
2. Therefore, you con rewrite it as below:
loga(b)=logb/loa
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3. Therefore, you have:
log(2)n=4⇒log(n)/log(2)=4
4. Then, you obtain:
log(n)=4log(2)
5. Therefore, as you can see, the answer for the exercise shown above is the last option, which is:
log(n)=4log(2)
Answer:
No
Step-by-step explanation:
6a + 12 =? 3(3a + 4)
Distribute
6a+12 =? 3*3a + 3*4
6a+12 =? 9a +12
No
The expressions are not equivalent
Okay, so let's go over multiplying negative numbers. A positive times a positive is a positive, right? But a negative times a negative is also a positive. Only a negative times a positive (or a positive times a negative) gives you a negative number. So, we know that one of our 2 numbers in this question must be negative; the other must be positive.
Let's now take a look at the factors of -147, starting with the positives. Obviously, -147 and 1 are factors: -147 * 1 = -147. What other factors of -147 are there?
What about 7? Try it: -147 / 7 = -21. So here are two factors: -21, and 7. They multiply to -147. Do they add up to -14? Let's see: -21+7 = 7+(-21) = 7-21= -14. Yup, that works!
Answer: -21 and 7
Answer: D) 
Step-by-step explanation:
From the given table we can see that this is not representing a linear function as the rate of change is not constant.
So it can be exponential growth function 
, where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.
Now here at n=1 , f(n)=8
Therefore, A=8
Now, for n=2
By substitute the values of A and b in the above equation, we get the equation
Therefore, the function best shows the relationship between n and f(n) is
, where n is the number of weeks.
