Question

plz help! or i'll cry.....to the nearest thousandth, what is the value of log(sub 5) 20/log20?

Answer 1

is the denominator a base 10 log..? if not what is the base..?

Answer 2

for the first log, 5 is the base

Answer 3

what about the 2nd log the divisor

Answer 4

for the second one its base 10

Answer 5

then use change of base for the numerator

\[\log _{5} 20 = \log_{10} 20/\log_{10} 5\]

then the problem becomes

\[(\log _{10}20/\log _{10}5)/\log _{10}20\]


or \[\log _{10}20/(\log _{10}5 \times \log _{10}20) = 1/\log _{10}\]