How do you evaluate #log_5 5#?

1 Answer
anor277
Aug 7, 2016

#log_(5)5=1#

Explanation:

When we write #log_(x)y=z#, we ask to what power we raise the base #x# to get #y#; here if #log_(x)y=z#, then #x^(z)=y#. I can use any base, but typically scientists assume natural logarithms, #log_e#, if the base is not specified, or, more rarely, #log_10#.

Given this, can you tell me #log_(10)100#, #log_(10)1000#, and #log_(10)0.01#? These are all simple whole numbers.

Related questions
See all questions in Logarithm-- Inverse of an Exponential Function
Impact of this question
6302 views around the world
You can reuse this answer
Creative Commons License