Question

convert to logarithmic equation
5\[^{-3}\]= 1/125

Answer 1

5^{-3}\] =1/125

Answer 2

5^{-3}\] =1/125

Answer 3

its not coming out right

Answer 4

right

Answer 5

5^-3=1/125

Answer 6

I'm not sure how they want you to express it as a logarithmic equation..

Answer 7

log ( 1/125) = -3
5

Answer 8

Because when you raise 5 to the power -3 , you get 1/125

Answer 9

logs are simply an expression of exponents.

\(5^{-3}=\frac{1}{125} \iff \left(\frac{1}{5}\right)^3=\frac{1}{125}\)

Answer 10

\[log_{1/5}(3)=1/125\] is the best I can make out of it, but I cant recall if we are allowed to have a rational base, cant see any reason whynot tho

Answer 11

got that backwards...

Answer 12

\[log_{1/5}(1/125)=3\]

Answer 13

or just as well;

\[log_{5}(1/125)=-3\]

Answer 14

Sure, or
\[-3log(5) = log(1) - log(125)\]
Or all kinds of other options..