How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_5 18#?

1 Answer
Bio
Oct 31, 2015

#log_{5}18=frac{ln(18)}{ln(5)}# or #log_{5}18=frac{log_{10}(18)}{log_{10}(5)}#

Explanation:

#log_{a}b=frac{log_{c}(b)}{log_c(a)}#
for all positive real numbers a,b and c.

In this case, #a=5#, #b=18#, #c=e# or #c=10#

Related questions
See all questions in Functions with Base b
Impact of this question
1453 views around the world
You can reuse this answer
Creative Commons License