Question

Problem 3 If logo If Togo3=0.5 and 109.5=0.7, Findi al 10g. 33 b) 1096 43

Answer 1

Given:

logo 3 = 0.5 and logo 5 = 0.7

a)

$log_b \;\frac{3}{5}=log_b \;3-log_b \;5$ .............. $\because log_x\left ( \frac{m}{n} \right )=log_x\:m-log_x\:n$

  $=(0.5)-(0.7)$

  $=0.2$

b)

$log_b\:^4\sqrt 3=log_b\:3^{\frac{1}{4}}$

  $={\frac{1}{4}}\: log_b\:3$ ...........................   $\because log_x\:m^n=n\:(log_x\:m)$

  $={\frac{1}{4}}\: (0.5)$

  $={\frac{1}{8}}$

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