Question

pls help. ;'( use the properties of logarithms to rewrite and simplify the logarithmic expression.

Answer 1

\[\log _{5}(\frac{ 1 }{ 250 })\]

Answer 2

\[\log_{5}(1)-\log_{5}(250)\]???

Answer 3

@amistre64 @dan815 @satellite73

Answer 4

then what?

Answer 5

the question seems vague. what constitutes a 'simplified' version of it?

Answer 6

what does log(1) always equal?

Answer 7

so 250 a multiple of 5 by chance?

Answer 8

what log properties do you know?

Answer 9

yes , 50 right

Answer 10

ohh could I use the change of base ? lol

Answer 11

log(base5) of1 = 0 so the simplified version is - log(base5)250

Answer 12

The answer key says it's -3-log(base 5) (2) but how?

Answer 13

notifs didnt say nothing about 15 minutes ago ...

Answer 14

what are your log properties?

Answer 15

Power, product, and quotient

Answer 16

Or perhaps this:
\[\log_{5}1-\log_{5}5^3(2)=0-(\log_{5}5^3 +\log_{5}2)=-3-\log_{5}2 \]

Answer 17

omg, that makes so much sense, I see what was done there. :D

Answer 18

Pretty much all the log properties were used there haha. :)