Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{log_{\frac{2}{3}}\:\dfrac{8}{27} = x}[/tex]
[tex]\mathsf{\left(\dfrac{2}{3}\right)^x = \left(\dfrac{8}{27}\right)}[/tex]
[tex]\mathsf{\left(\dfrac{2}{3}\right)^x = \left(\dfrac{2^3}{3^3}\right)}[/tex]
[tex]\mathsf{\left(\dfrac{2}{3}\right)^x = \left(\dfrac{2}{3}\right)^3}[/tex]
[tex]\boxed{\boxed{\mathsf{x = 3}}}[/tex]
[tex]\mathsf{log_x\:0,0016 = 4}[/tex]
[tex]\mathsf{x^4 = 0,0016}[/tex]
[tex]\mathsf{x^4 = \dfrac{16}{10.000}}[/tex]
[tex]\mathsf{x^4 = \dfrac{2^4}{10^4}}[/tex]
[tex]\mathsf{x^4 = \left(\dfrac{2}{10}\right)^4}[/tex]
[tex]\boxed{\boxed{\mathsf{x = \dfrac{1}{5}}}}[/tex]
