Question

Which of the following is equivalent to log 8 35 rounded to three decimal places

Answer 1

1.710
1.588
0.641
0.585

Answer 2

\[\log_8(35)=\frac{\ln(35)}{\ln(8)}\] and a calculator

Answer 3

is there a way to do this by hand

Answer 4

no, you would have to use tables of logs. They stop teaching that method in the mid 80s. satellite is using change of base (best way to do it now).

Answer 5

you could do it by hand, if the solution was a whole number
example
but for your problem, you will need a calculator