Question

evaluate the log expression
3log(base 3) 21

Answer 1

\[3\log _{3}21= 3(\frac{ \log 21 }{ \log 3 })=3(\frac{ \log(7*3) }{ \log3 })=3(\log(7)+\log(3))/\log 3\]

Answer 2

\[\log _{b} A=\frac{ \log A }{ \log b }\] use this

Answer 3

\[\log (AB)= \log A+ \log B\]

Answer 4

of if you want a decimal approximation for this, you can compute
\[3\times \frac{\ln(21)}{\ln(3)}\] by the change of base formula
either way

Answer 5

is it 21? because that is what I worked out.

Answer 6

\[3(\frac{ \log 7 }{ \log3 }+\frac{ \log 3 }{ \log 3 })\] now you can do the rest

Answer 7

if it is
\[3\log_3(21)\] then no

Answer 8

hmm then should it be 3??

Answer 9

no

Answer 10

would the answer happen to be in the negatitive form?

Answer 11

no

Answer 12

okay. so then I just got 1.04

Answer 13

it's 5.38