How do you expand $log \sqrt{100 x^{3}}$ $log sqrt( 100 x^3 )$ ?

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Answer 1 · 2016-05-06T20:29:31

$log \sqrt{100 x^{3}} = 1 + \frac{3}{2} \cdot log x$ $log sqrt(100x^3)=1+3/2*log x$

$log \sqrt{100 x^{3}} = log 10 \sqrt{x^{3}} = log 10 \cdot x^{\frac{3}{2}}$ $log sqrt(100x^3)=log 10sqrt(x^3)=log 10*x^(3/2)$

$log a \cdot b = log a + log b$ $log a*b=log a+log b$

$log \sqrt{100 x^{3}} = log 10 + {log x}^{\frac{3}{2}}$ $log sqrt(100x^3)=log 10+log x^(3/2)$

${log a}^{b} = b \cdot log a$ $log a^b=b*log a$

$log \sqrt{100 x^{3}} = log 10 + \frac{3}{2} \cdot log x$ $log sqrt(100x^3)=log 10+3/2*log x$

$log 10 = 1$ $log 10=1$

$log \sqrt{100 x^{3}} = 1 + \frac{3}{2} \cdot log x$ $log sqrt(100x^3)=1+3/2*log x$

How do you expand log√100x3log sqrt( 100 x^3 )?