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##### 1. Express the following logarithm in terms of \log _{a} x \log _{a} y and \log _{a} z .(v) \log _{a} \frac{\sqrt[6]{x y^{-1} z^{-2}}}{\left(x^{-1} y^{-2} z^{-3}\right)^{\frac{1}{6}}}

3. If \log 31.09=1.4926 find the value of the following without using \log table.(v) \log 310.942

1. Find the common logarithm of each of the following numbers.(ii) 29.326

5. Evaluate (i) \log _{2} \frac{1}{128}

3. If \log 31.09=1.4926 find the value of the following without using \log table.(ii) \log 310.9

3. Find the value of x from the following using calculator.(viii) \log x=\overline{2} .7777

1. Find the values of the following by using logarithms.(ii) 25.753 \times 0.5341 \times 490.8