Question 1135953
(a) 
{{{log(3 ,(1))}}} =___{{{0}}}____ (fill in the blank)  because{{{3^0=1}}}


(b) Let {{{x = log(3, (1/243)) }}} State the exponential form of the equation. 

{{{ y = log(b, x)}}} is equivalent to {{{b^ y = x}}}

in your case {{{3^x=1/243}}}


(c) Determine the numerical value of {{{log(3, (1/243))}}} , in simplest form

{{{log(3, 1/243)}}}

={{{log((1/243))/log(3)}}}

={{{(log(1)-log(243))/log(3)}}}

={{{-log(3^5)/log(3)}}}=

={{{-5log(3)/log(3)}}}

={{{-5}}}


answer:=>{{{log(3, (1/243))=-5}}}