Question

determine o valor de a.b sabendo que a=log3 1/243 e b=log2 256​

Answer 1

$a~=~log_{_3}\frac{1}{243}\\\\\\3^a~=~\frac{1}{243}\\\\\\3^a~=~\frac{1}{3^5}\\\\\\3^a~=~3^{-5}\\\\\\\boxed{a~=~-5}\\\\\\\\b~=~log_{_2}256\\\\\\2^b~=~256\\\\\\2^b~=~2^8\\\\\\\boxed{b~=~8}\\\\\\\\\boxed{a~.~b~=~(-5)~.~8~=~\boxed{-40}}$