Question 957252
Find a logarithmic function 
{{{f(x)=log(b,(x))}}}
 such that the graph of f passes through the given point
({{{64}}},{{{2}}})

{{{2=log(b,(64))}}}

{{{2=log((64))/log(b)}}}

{{{2log(b)=log(b,64)}}}

{{{log(b^2)=log(b,64)}}}

{{{b^2=64}}}

{{{b=sqrt(64)}}}

{{{b=8}}}

{{{f(x)=log(8,(x))}}}



{{{drawing( 600, 600, -10, 75, -10, 10,
circle(64,2,.5),locate(64,2,p(64,2)),
 graph( 600, 600, -10, 75, -10, 10, log(8,(x)))) }}}