Change of Base of Logarithms

Change of Base of Logarithms

log a b = log c b log c a
and
  log a b = 1 log b a

Example:
Find the value of the following:
a. log 25 100
b. log 3 0.45
Answer:
a.
log 25 100 = log 10 100 log 10 25 = 10 1.3979 = 7.154 b.
log 3 0.45 = log 10 0.45 log 10 3 = 0.3468 0.4771 = 0.727

Leave a Reply

Your email address will not be published. Required fields are marked *