Use common logarithms or natural logarithms and a calculator to evaluate the following. \( \log _{15} 89.5 \) Use the change-of-base property to rewrite the given expression in terms of natural logarithms or common logarithms. \( \log _{15} 89.5=\square \) (Do not evaluate.) Evaluate the expression. log \( { }_{15} 89.5 \approx \square \) (Type an integer or a decimal. Do not round until the final answer. Then round to four decimal places as needed.)

HALLAR EL DOMINIO DE \( F(x)=\frac{1}{\sqrt{x}} \) ES

5. ¿Cuál es el valor de \( \log _{4} \frac{1}{16} \) ?

- 3 of the animals in an animal shelter are hamsters. The rest are cats \( \frac{1}{6} \) of the cats are male and the rest are female. What fraction of the animals in the shelter are female cats? Write your answer in the simplest form.

Uma functio lograritmica possui lei de formaçäo igual a \( f(x)=\log _{2} x \). Qual deve sora valor de x para que \( f(x)=10 \) ? \( \begin{array}{llll}\text { ad } & \text { B) } 128 & \text { C) } 256 & \text { D) } 512\end{array} \)

6) Dada a progressão geométrica \( 1,3,9,27, \ldots . \). se a sua soma é 3280 , então ela apresenta: \( \begin{array}{lll}\text { a) } 9 \text { termos } & \text { b) } 8 \text { termos } & \text { c) } 7 \text { termos } \\ \text { d) } 6 \text { termos } & \text { e) } 5 \text { termos } & \end{array} \) Alternativa B