Question 422152

in log base 3(1/81)

what should be the power of base(3) so that answer is (1/81)

can also be written as {{{3^x=1/81}}}

since {{{81=3^4}}} ...=>...{{{1/81 = 81^-1 = (3^4)^-1 = 3^-4}}}

so {{{x}}} should be {{{-4}}}

{{{log_base_ 3(1/81)=-4 }}}


can also be written as {{{3^(-4)=1/81}}}

Answer is (-4)