Question

Qual o número cujo logaritmo na base 9 é igual a 1,5? ​

Answer 1

$log_{9}(x) = 1.5 \\ {9}^{1.5} = x \\ { ({3}^{2}) }^{1.5 } = x \\ x = {3}^{3} \\x = 27$

Answer 2

$log_{9}(x) = 1,5 \\ log_{9}(x) = \frac{3}{2} \\ x = {9}^{ \frac{3}{2} } \\ x = { ({3}^{2}) }^{ \frac{3}{2} }$

$x = {3}^{2. \frac{3}{2} } \\ x = {3}^{3} \\ x = 27$