SOLUTION: What, approximately, is log2 32?

Click here to see ALL problems on Trigonometry-basics

Question 1142057: What, approximately, is log2 32?
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website!
log2(32) = y if and only if 2^y = 32.

2^y = 32 when y = 5.

you get 2^5 = 32

you can confirm this is true by using your calculator.

you can also solve for y by using the lob base conversion formula of:

log2(32) = log10(32) / log10(2) which becomes log(32) / log(2) when using your calculator, because the log function assumes log to the base of 10.

you will see that log(32) / log(2) = 5.

Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website!
.

= 5, since = 32. is PRECISELY equal to 5, so the term "approximately", used in the post, is inappropriate.

------------------

On logarithms and their properties, see the lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.