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

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Answer 1 · 2016-05-06T20:29:31

$log sqrt(100x^3)=1+3/2*log x$

$log sqrt(100x^3)=log 10sqrt(x^3)=log 10*x^(3/2)$

$log a*b=log a+log b$

$log sqrt(100x^3)=log 10+log x^(3/2)$

$log a^b=b*log a$

$log sqrt(100x^3)=log 10+3/2*log x$

$log 10=1$

$log sqrt(100x^3)=1+3/2*log x$

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