Question

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

Answer 1

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`