How do you calculate #log_9 48# with a calculator?

1 Answer
George C.
Dec 10, 2017

Use the change of base formula with #log# or #ln# ...

Explanation:

You can use the change of base formula for logarithms:

#log_b a = log_c a / log_c b#

with #c=10# (common logarithm) or #c=e# (natural logarithm):

#log_9 48 = log 48 / log 9 ~~ 1.681241237 / 0.954242509 ~~ 1.761859507#

#log_9 48 = ln 48 / ln 9 ~~ 3.871291911 / 2.197224577 ~~ 1.761859507#

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