Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Simplifica la siguiente expresión logarítmica:
[tex]\[ \log (22) - \log (2) \][/tex]

Seleccione una:
a. [tex]\(\log \left(\frac{1}{11}\right)\)[/tex]
b. [tex]\(\log (11)\)[/tex]
c. [tex]\(\log \left(\frac{2}{22}\right)\)[/tex]
d. [tex]\(\log \left(\frac{10}{22}\right)\)[/tex]

Sagot :

GinnyAnswer
Para simplificar la expresión logarítmica [tex]\(\log (22) - \log (2)\)[/tex], podemos utilizar una propiedad fundamental de los logaritmos conocida como la propiedad de la resta de logaritmos. Esta propiedad establece que:

[tex]\[ \log(a) - \log(b) = \log\left(\frac{a}{b}\right) \][/tex]

Dado esto, podemos reescribir la expresión original de la siguiente manera:

[tex]\[ \log(22) - \log(2) = \log\left(\frac{22}{2}\right) \][/tex]

Ahora, simplificamos la fracción dentro del logaritmo:

[tex]\[ \frac{22}{2} = 11 \][/tex]

Por lo tanto, la expresión simplificada es:

[tex]\[ \log\left(\frac{22}{2}\right) = \log(11) \][/tex]

La opción correcta es:

b. [tex]\(\log (11)\)[/tex]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.