3 Consider the product \( \left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right) \ldots \) Each factor in the product is of the form \( \left(1+\frac{1}{n}\right) \) for \( n \geq 2 \). Determine ALL the values of \( n \) for which the product will be an integer value.

1. \( l(x)=\log _{(x-2)}(7-x) \) lonksiyonunun en geniş tanım aralı(gı aşağıdakiler hangisidir? \( \begin{array}{lll}\text { A) } x>2 & \text { B) } 2<x<7 & \text { C) } x \geq 7\end{array} \)

\( 1 \leftarrow \quad \begin{array}{l}\text { Use properties of loganithms to condense the logarithmic expression below. Write the expression as a single logarithm } \\ \text { whose coefficient is } 1 \text {. Where possible, evaluate logarithmic expressions. } \\ 6 \ln x+3 \ln y-4 \ln z\end{array} \) \( 6 \ln x+3 \ln y-4 \ln z=\square \)

Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.) \[ (1,7) \text { and }(2,12) \]

(1) Comparer: \( 4 \sqrt{5} \) et \( 6 \sqrt{2} \) puis en déduire une comparaison de: \( 7-4 \sqrt{5} \) et \( 7-6 \sqrt{2} \)

Find the domain and range of \( y=\log _{7}(1+5 x) \). The domain is: The range is: