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mylen [45]
3 years ago
13

Can someone help me solve the blanks PLEASE

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Step-by-step explanation:

You need to remember that

log( \frac{a}{b} )  =  log(a)  -  log(b)

and

log(ab)  =  log(a)  +  log(b)

then the solution is

log( \frac{r}{st} )  =  log(r)  -  log(st)  \\  = log(r) - ( log(s)  +  log(t) ) \\  =  log(r)  -  log(s)  -  log(t)

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\longrightarrow \rm{{\Bigg ( \dfrac{a}{b} \Bigg )}^c} \\  \\  \longrightarrow \rm{{\Bigg ( \dfrac{2}{3} \Bigg )}^5}  \\  \\   \qquad \qquad \bigstar \: \boxed{ \bf{  \Bigg ({\frac{x}{y} \Bigg )}^{m}  =  \frac{ {x}^{m} }{ {y}^{m}}   }} \\  \\  \longrightarrow \rm{ \frac{ {(2)}^{5} }{ {(3)}^{5} } } \\  \\ \longrightarrow  \bf{ \frac{ 32 }{ 243} }

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