Question

Log of 81 to the base 27?

pls help

Answers

You can rewrite log of 81 to the base of 27 in base 10 by the 'change of base property' as (log81)/(log(27).

log81 = log(3^4) = 4log3 (Using the power rule)

log27 = log(3^3) = 3log3 (Using the power rule)

Therefore, (log81)/(log27) = (4log3)/(3log3) = 4/3

#1

1.33333

http://www.1728.org/logrithm.htm

#2

log 81 =log 81 log 27

27 10 / 10

= 4log 3 3 log 3

10 / 10

= 4/3

=1.333

#3

log of 81 to the base 27 = log81 / log27 =

= log(3^4) / log(3^3) = 4*log3 / 3*log3 =

= 4/3 >==========================< ANSWER

#4

Log A base X = Log A base Y / Log X base Y ........Rule

Therefore, log of 81 to the base 27 = log 81 / log 27 = 1.333333333

#5

Rewrite log of 81 to the base of 27 in base 10 as (log81)/(log(27).

log81 = log(3^4) = 4log3

log27 = log(3^3) = 3log3

So, (log81)/(log27) = (4log3)/(3log3) = 4/3

#6