Question

Questão 1: Calcule os logaritmos: a) log 6 216 = x b) log 7 49 = x c) log 2 32 = x d) log 5 x = 2

Answer 1

$\large\boxed{\begin{array}{l}\rm 1)\\\tt a)~\sf\ell og_6216=x\\\sf x=\ell og_{6^1}6^3=\dfrac{3}{1}=3\\\tt b)~\sf\ell og_749=x\\\sf x=\ell og_{7^1}7^2=\dfrac{2}{1}=2\\\tt c)~\sf \ell og_232=x\\\sf x=\ell og_{2^1}2^5=\dfrac{5}{1}=5\\\tt d)~\sf\ell og _5x=2\\\sf x=5^2\\\sf x=25\end{array}}$