How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_2 6 +log_3 5?

1 Answer
Gió
Nov 3, 2015

I found ~~4.05

Explanation:

The Change of Base Formula allows you to change the base of your log to a more "friendly" base such as e or 10 that can be evaluated using a pocket calculator:
log_bx=log_cx/log_cb from base b to c;
In our case we can use, say, e as new base to get Natural Logs as:
log_2(6)+log_3(5)=ln6/ln2+ln5/ln3=
using a pocket calculator you get:
=1.79175/0.69314+1.60943/1.09861~~4.05

Related questions
See all questions in Functions with Base b
Impact of this question
1757 views around the world
You can reuse this answer
Creative Commons License