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Mathematics 18 Online
OpenStudy (rainbow_dash):

log(sub32) n=4/5

OpenStudy (lgbasallote):

\[\huge \log_{32} n = \frac 45\] if i were you i'd convert this to exponential first. do you know how to

OpenStudy (rainbow_dash):

i do not.

OpenStudy (lgbasallote):

here's a hint \[\huge log_a b = c \Longleftrightarrow a^c= b\]

OpenStudy (lgbasallote):

which is a here?

OpenStudy (rainbow_dash):

4/5?

OpenStudy (rainbow_dash):

no no no 32

OpenStudy (lgbasallote):

right 32

OpenStudy (lgbasallote):

which is b?

OpenStudy (rainbow_dash):

n

OpenStudy (lgbasallote):

and c?

OpenStudy (rainbow_dash):

4/5

OpenStudy (lgbasallote):

so now what's \[\huge a^c = b\]

OpenStudy (rainbow_dash):

16.

OpenStudy (lgbasallote):

correct

OpenStudy (rainbow_dash):

thanks!

OpenStudy (lgbasallote):

\[\huge \color{gold}{\textbf{<tips hat>}}\]

OpenStudy (anonymous):

Why dont you just convert it to base 10 ? log (n) / log(32) = 4/5 log(32) = 5 log(2) log(n) = (4/5)*(5log(2)) log(n) = 4log(2) log(n) = log(16) n = 16

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