Question

Which is equal to log base 2n=4

Answer 1

properties of log

log b a = x is the same as logb/loga = x

log b a = logb/loga

so;

log 2 n = 4 ; logn/log2 = 4 ; logn = 4log2

the answer is logn = 4log2

Answer 2

To solve this problem you must apply the proccedure shown below:

1. You have the following logarithm:

log(2)n=4

2. Therefore, you con rewrite it as below:

loga(b)=logb/loa

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)