Question

Evaluate log^5 1/625
a.-3
b.5
c.-4
d.4

Answer 1

Is it: \(\LARGE \log_{5}{\frac{1}{625}} \)? If so, think about which number 5 needs to be raised to to get 625. In other words:
5^x = 625, what is x?

Answer 2

yea thats it and is it 4

Answer 3

It's 4 for 5^x = 625. Now, think about it this way: we want a number such that 5^x = 1/625. Remember that 5^(-x) = 1/5^x and we have that 5^4 = 625, so the answer should be?

Answer 4

-4

Answer 5

?

Answer 6

Yup :-)