How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 10.741#?

1 Answer
Sep 23, 2015

Answer:

I found: #2.16097#

Explanation:

Given a log in base #b# of a certain number #a# you can change it into the new base #c# as:
#log_ba=(log_ca)/(log_cb)#
A convenient base we can use in our case is #e#, to get natural logs indicated as #ln# and that can be evaluated using a pocket calculator. So we get:
#log_3(10.741)=(ln(10.741))/(ln(3))=2.16097#