Question

expand the logarithmic expression log8 q/2
can someone explain

Answer 1

\[\log(\frac{a}{b})=\log(a)-\log(b)\] is a start

Answer 2

first step is
\[\log_8(q)-\log_8(2)\]

Answer 3

second step is to find \(\log_8(2)\)
since \(\sqrt[3]{8}=2\) we have \(8^{\frac{1}{3}}\) so \(\log_8(2)=\frac{1}{3}\)

Answer 4

you cannot use your calculator if you have a variable in the expression
the answer is not a number, it will have a \(q\) in it