Question

log de  3√3 de base 9 ?

Answer 1

log₉3√3 = x

9ˣ =3.3¹/²
3²ˣ = 3³/²
2x = 3/2
x = 3/4

Resposta 3/4

Answer 2

$log_{9}3. \sqrt{3}=x \\ \\ 9^{x}=3. \sqrt{3} \\ \\ ( 3^{2} )^{x} = 3^{1} . 3^{ \frac{1}{2} } \\ \\ 3^{2x}= 3^{1+ \frac{1}{2} } \\ \\ 3^{2x}= 3^{ \frac{2+1}{2} } \\ \\ 3^{2x}= 3^{ \frac{3}{2} } \\ \\ 2x= \frac{3}{2} \\ \\ x= \frac{3}{2.2} \\ \\ x= \frac{3}{4}$