Question

a) Sabendo que log a = 2 e log b = 1, calcule o valor de logb a

Answer 1

logb a = loga/logb = 2/1 = 2

Answer 2

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Mudança de base

$\huge\boxed{\boxed{\boxed{\boxed{\sf\ell og_ab=\dfrac{\ell og_cb}{\ell og_ca}}}}}$

$\tt dados:\boxed{\begin{array}{c}\sf\ell og~a=2\\\sf\ell og~b=1\\\sf\ell og_ba=?\end{array}}\\\underline{\rm soluc_{\!\!,}\tilde ao}\\\sf\ell o_ba=\dfrac{\ell og~a}{\ell og~b}\\\sf\elll og_ba=\dfrac{2}{1}\\\huge\boxed{\boxed{\boxed{\boxed{\sf\ell og_ba=2}}}}\checkmark$