Respuestas
Respuesta dada por:
14
¡Hola ^^!
⚠️ Recordemos la siguiente propiedad ⚠️
![\boxed{ \frac{1}{a} = {a}^{ - 1} } \boxed{ \frac{1}{a} = {a}^{ - 1} }](https://tex.z-dn.net/?f=+%5Cboxed%7B+%5Cfrac%7B1%7D%7Ba%7D++%3D++%7Ba%7D%5E%7B+-+1%7D+%7D)
Resolver:
1)
![\frac{1}{8} = {2}^{x} \\ \\ \frac{1}{ {2}^{3} } = {2}^{x} \\ \\ {2}^{ - 3} = {2}^{x} \\ \\ \boxed{x = - 3} \frac{1}{8} = {2}^{x} \\ \\ \frac{1}{ {2}^{3} } = {2}^{x} \\ \\ {2}^{ - 3} = {2}^{x} \\ \\ \boxed{x = - 3}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B8%7D++%3D++%7B2%7D%5E%7Bx%7D++%5C%5C++%5C%5C++%5Cfrac%7B1%7D%7B+%7B2%7D%5E%7B3%7D+%7D++%3D++%7B2%7D%5E%7Bx%7D++%5C%5C++%5C%5C++%7B2%7D%5E%7B+-+3%7D++%3D++%7B2%7D%5E%7Bx%7D++%5C%5C++%5C%5C+++%5Cboxed%7Bx+%3D++-+3%7D)
2.
![\frac{1}{81} = {9}^{x } \\ \\ \frac{1}{ {9}^{2} } = {9}^{x} \\ \\ {9}^{ - 2} = {9}^{x} \\ \\ \boxed{x = - 2 } \frac{1}{81} = {9}^{x } \\ \\ \frac{1}{ {9}^{2} } = {9}^{x} \\ \\ {9}^{ - 2} = {9}^{x} \\ \\ \boxed{x = - 2 }](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B81%7D++%3D++%7B9%7D%5E%7Bx+%7D++%5C%5C++%5C%5C++%5Cfrac%7B1%7D%7B+%7B9%7D%5E%7B2%7D+%7D++%3D++%7B9%7D%5E%7Bx%7D++%5C%5C++%5C%5C++%7B9%7D%5E%7B+-+2%7D++%3D++%7B9%7D%5E%7Bx%7D++%5C%5C++%5C%5C+%5Cboxed%7Bx+%3D+-+2+%7D)
3.
![\frac{1}{25} = {5}^{x} \\ \\ \frac{1}{ {5}^{2} } = {5}^{x} \\ \\ {5}^{ - 2} = {5}^{x} \\ \boxed{x = - 2} \frac{1}{25} = {5}^{x} \\ \\ \frac{1}{ {5}^{2} } = {5}^{x} \\ \\ {5}^{ - 2} = {5}^{x} \\ \boxed{x = - 2}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B25%7D++%3D++%7B5%7D%5E%7Bx%7D++%5C%5C++%5C%5C++%5Cfrac%7B1%7D%7B+%7B5%7D%5E%7B2%7D+%7D++%3D++%7B5%7D%5E%7Bx%7D++%5C%5C++%5C%5C++%7B5%7D%5E%7B+-+2%7D++%3D++%7B5%7D%5E%7Bx%7D++%5C%5C+%5Cboxed%7Bx+%3D++-+2%7D)
4.
![\frac{1}{10000} = {10}^{x} \\ \\ \frac{1}{ {10}^{4} } = {10}^{x} \\ \\ {10}^{ - 4} = {10}^{x} \\ \boxed{x = - 4} \frac{1}{10000} = {10}^{x} \\ \\ \frac{1}{ {10}^{4} } = {10}^{x} \\ \\ {10}^{ - 4} = {10}^{x} \\ \boxed{x = - 4}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B10000%7D+++%3D++%7B10%7D%5E%7Bx%7D++%5C%5C++%5C%5C++%5Cfrac%7B1%7D%7B+%7B10%7D%5E%7B4%7D+%7D++%3D++%7B10%7D%5E%7Bx%7D++%5C%5C++%5C%5C++%7B10%7D%5E%7B+-+4%7D++%3D++%7B10%7D%5E%7Bx%7D++%5C%5C+%5Cboxed%7Bx+%3D++-+4%7D)
Espero que te sirva de ayuda ^u^
Saludos:
Margareth ✌️
⚠️ Recordemos la siguiente propiedad ⚠️
Resolver:
1)
2.
3.
4.
Espero que te sirva de ayuda ^u^
Saludos:
Margareth ✌️
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