Question 192191
{{{log(8,(4))}}} Start with the given expression



{{{(log(10,(4)))/(log(10,(8)))}}} Use the change of base formula



{{{(log(10,(2^2)))/(log(10,(2^3)))}}} Rewrite 4 as {{{2^2}}} and 8 as {{{2^3}}}



{{{(2*log(10,(2)))/(3*log(10,(2)))}}} Pull down the exponents



{{{(2*cross(log(10,(2))))/(3*cross(log(10,(2))))}}} Cancel out the common terms.



{{{2/3}}} Simplify



So {{{log(8,(4))=2/3}}}