How do you calculate #log_2 10#?
It helps to write this in another way to understand what is being asked. We can write log form in exponential form
Which power of 2 is equal to 10? It is obviously not a whole number because the powers of 2 are: 2, 4, 8, 16 , 32 .....
Using index form first, find the log of both sides:
We know log 10 = 1, but need to use a calculator to find log2.
Using log form, this can be written using the change of base rule:
This is the same result as was found the first time.
Now use a calculator to find the answer as