Aplicando propiedades de los logaritmos expresa como sumas y restas de logaritmos \( \begin{array}{lll}\text { a. } \log \frac{27 a}{b} & \text { c. } \log \frac{5 x}{7-x} & \text { o. } \log \left(\frac{10 x}{9 y}\right)^{2} \\ \text { b. } \log \left(\frac{3}{x}\right)^{5} & \text { d. } \log \left(\frac{27}{\sqrt{15 z}}\right) & \text { r. } \log \sqrt{\frac{8 x}{9}}\end{array} \)

19 days of March 2015 . \( \begin{array}{llll}\text { (1) } ₹ 1530 & \text { (2) } ₹ 1260 & \text { (3) } ₹ 1620 & \text { (4) } ₹ 1710\end{array} \) \( x \propto \frac{1}{y} \). When \( y=6, x=14 \). What is the constant of variation ? \( \begin{array}{llll}\text { (1) } 94 & \text { (2) } 84 & \text { (3) } 82 & \text { (4) } 72\end{array} \) If \( x \) varies directly as \( y \), which number will replace the question

Multiply the bino (IIi) \( (x-4) \) and ( \( 2 x \)

Given that the quadratic equation \( p x^{2}-9 q x+9 p=0 \), where \( p \) and \( q \) are constants, has two equal roots. Find \( p: q \). [2 marks.

\( \frac { 1 } { r } x \frac { 1 - ( \frac { 1 } { r } ) ^ { n } } { 1 - \frac { 1 } { r } } \geq \frac { 9 r } { 100 } \Rightarrow 1 - \frac { 1 } { r ^ { n } } \geq \frac { 9 r } { 100 } \)

Simplify the expression: \( (x^{1/4}y^{1/2})^{8} \)