Question

Se log a = x & logb = y , calcule o valor de logb a ​

Answer 1

Se log a = x e log b = y , calcule o valor de $log_b \ a$

$log_b \ a=\frac{log \ a}{log \ b}=\frac{x}{y}$ ​

Answer 2

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Mudança de base

$\Large\boxed{\boxed{\boxed{\boxed{\sf\ell og_ba=\dfrac{\ell og_ca}{\ell og_cb}}}}}$

$\tt dados:\boxed{\begin{array}{c}\sf\ell og~a=x\\\sf\ell og~b=y\\\sf\ell og_ba=?\end{array}}$

$\sf\ell og_ba=\dfrac{\ell og~a}{\ell og~b}\\\huge\boxed{\boxed{\boxed{\boxed{\sf\ell og_ba=\dfrac{x}{y}}}}}\checkmark$