Question

log raiz de 32 na base 4

Answer 1

$Sabemos~que:\\ \\ log_b~a=x\rightarrow\ \boxed{a=b^x}\\ \\ Logo,~temos~que:\\ \\ log_4~\sqrt{32} = x\\ \\ 4^x = 32^{\frac{1}{2}}\\ \\ 2^{2x} = 2^{\frac{5}{2}}\\ \\ 2x=\frac{5}{2}\\ \\ \large\boxed{x=\frac{5}{4}}$