Question

log(11 + 1/4) without calculator.

Answer 1

given log2 = 0.301 and log3= 0.477

Answer 2

\[11+\frac{ 1 }{ 4 }= (11*4+1)/4=\frac{ 45 }{ 4 }\] can you do ti now?

Answer 3

\[45= 5*3*3, 4=(2)^2\]

Answer 4

yes but i am not given the log 5

Answer 5

log(45/4)= log45-log4

Answer 6

log 5 = log 10/2 = log 10-log 2 =1-log 2

Answer 7

okay, i can do it now

Answer 8

\[\log (a)^b= b \log a,... \log(a*b*c)=\log a +\log b+ \log c\]

Answer 9

\[\log(5)=\log(10/2)= \log 10- \log 2=1-\log 2\]

Answer 10

log(45/4) = log45-log4
= (2log3 + log5) -2log2
= 2(.477) + (1-0.310) -2(.310)

Answer 11

yes

Answer 12

ok thank you! :)

Answer 13

:)