Question

Qual é o valor do
$log_{9}(3 \sqrt{27} )$
​

Answer 1

$log_{9}(3 \sqrt{27} ) = \\ log_{ { 3}^{2} }(3 \times {3}^{ \frac{3}{2} } ) = \\ \frac{1}{2} log_{3}( {3}^{ \frac{5}{2} }) = \\ \\ \frac{5}{4}$

Answer 2

log 9 (3.√27)=x

log9 [3.(3)^3/2]=x

(9)^x=(3^1+3/2)

(3)^2x=(3)^1+3/2

(3)^2x=(3)^5/2

2x=5/2

(2)(2x)=5

4x=5

x=5/4

espero ter ajudado!

bom dia !