Mathematics, 31.07.2019 07:00 asiamuhammad6
Si ∛(5^x )=1/∛25 . calcula el valor de x es: si ∛(5^x )=1/∛25 . calcula el valor de x es: si ∛(5^x )=1/∛25 . calcula el valor de x es: si ∛(5^x )=1/∛25 . calcula el valor de x es: si ∛(5^x )=1/∛25 . calcula el valor de x es: si ∛(5^x )=1/∛25 . calcula el valor de x es:
Answers: 1
![\sqrt[3]{5^x}= \dfrac{1}{ \sqrt[3]{25} } \\ \\ \\ \sqrt[3]{5^x}= ({ \sqrt[3]{25} }) ^{-1} \\ \\ \\ \sqrt[3]{5^x}= ({ \sqrt[3]{5^2} }) ^{-1} \\ \\ \\ \sqrt[3]{5^x}= { \sqrt[3]{5} ^ {-2}} \\ \\ \\ (\sqrt[3]{5})^x= ({ \sqrt[3]{5}) ^ {-2}} \quad\to\quad \boxed{ x= -2} \\ \\ \\](/tpl/images/0153/4649/8f8aa.png)
![\sqrt[3]{{{5^x}}} = \dfrac{1}{{\sqrt[3]{{25}}}}](/tpl/images/0153/4649/935e2.png)
is 
![\boxed{{x^{\frac{m}{n}}} = \sqrt[n]{{{x^m}}}}](/tpl/images/0153/4649/ffa0b.png)
![\sqrt[3]{{{5^x}}} = \dfrac{1}{{\sqrt[3]{{25}}}}.](/tpl/images/0153/4649/c841b.png)
.
![\begin{aligned}\left({\sqrt[3]{{{5^x}}}} \right)&= \frac{1}{{\sqrt[3]{{25}}}}\\\sqrt[3]{{{5^x}}}&= \frac{1}{{\sqrt[3]{{{5^2}}}}}\\\sqrt[3]{{{5^x}}} &= {\left( {\sqrt[3]{{{5^2}}}} \right)^{ - 1}}\\\sqrt[3]{{{5^x}}}&= {\left({\sqrt[3]{5}} \right)^{ - 2}}\\\end{aligned}](/tpl/images/0153/4649/d1b82.png)
![{\left( {\sqrt[3]{5}} \right)^x} = {\left( {\sqrt[3]{5}} \right)^{ - 2}}](/tpl/images/0153/4649/eed8a.png)
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Si ∛(5^x )=1/∛25 . calcula el valor de x es: si ∛(5^x )=1/∛25 . calcula el valor de x es: si ∛(5^x )...
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