How do you use the properties of logarithms to rewrite(expand) each logarithmic expression $log_b(yz^6))$ ?

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Answer 1 · 2018-03-03T11:38:21

$log_b(y)+6log_b(z)$

From the laws of logarithms:

$color(red)bb(log(ab)=log(a)+log(b))$

$color(red)bb(log(b^a)=alog(b))$

$log_b(yz^6)=log_b(y)+log_b(z^6)=>$

$log_b(y)+6log_b(z)$

How do you use the properties of logarithms to rewrite(expand) each logarithmic expression log_b(yz^6))log_b(yz^6))?