How do you calculate #Log_4 14#?

1 Answer
Sep 30, 2016

Answer:

I supposed that you can use a calculator.

Explanation:

One way involves the use of a scientific calculator that allows you to evaluat a natural logarithm indicated as #ln#.
You can change base of your original log using a well known relationship where you get a fraction of two logs in the new base and as arguments the old argument and the old base:
#log_4(14)=ln(14)/ln(4)=1.90367#

You can test this result considering that (using the definition of log):

#4^(1.90367)=13.9998~~14#