How do you condense $5 log_ (b) x + 6 log _(b) y$ ?

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Answer 1 · 2016-07-27T17:17:48

$log_b (x^5y^6)$

Since $nlog_b a=log_b a^n$ ,

then

$5log_b x+6log_b y=log_bx^5+log_by^6$

Since

$logx+logy=log(xy)$ ,

then

$log_bx^5+log_by^6=log_b (x^5y^6)$

How do you condense 5 log_ (b) x + 6 log _(b) y5 log_ (b) x + 6 log _(b) y?