Matematika

Pertanyaan

Jika log x - log (10/x^2) = 5 , maka nilai x = ...
Jika log x - log (10/x^2) = 5 , maka nilai x = ...

1 Jawaban

  • Ingat sifat logaritma : [tex]^{a}logb-^{a}logc=^{a}log(\frac{b}{c})[/tex]
    => [tex]logx-log\frac{10}{x^{2}}=5[/tex]
    => [tex]log(\frac{x}{\frac{10}{x^{2}}})=5[/tex]
    => [tex]log(\frac{x^{3}}{10})=5[/tex]
    => [tex]x^{3}=50,x=\sqrt[3]{50}[/tex]

    Semoga membantu