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godwin_ibrahim
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Tyro
Asked: 2020-11-16T20:33:55+00:00 In:

Express x in terms of p and q if \log p= 0.5\log x+2\log q

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Express x in terms of p and q if \log p= 0.5\log x+2\log q

logarithm

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  2. Sengemegz
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    \log p=0.5\log x+2\log q
    \Rightarrow \log p=\log x^{0.5}+\log q^{2}
    \Rightarrow \log p=\log x^{\frac{1}{2}}+\log q^{2}
    applying the laws of logarithms
    \Rightarrow \log p=\log (q^{2}\sqrt{x})
    cancel out log
    \therefore p=q^{2}\sqrt{x}

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