Question

evaluate the logarithm.
log5 (1/25)

Answer 1

@Jhannybean

Answer 2

\[\large \log_a (x) = \frac{\log_b (x)}{\log_b (a)}\]

Answer 3

@Kainui

Answer 4

(1/25)/5????

Answer 5

close, where are your function denotations?

Answer 6

what do you mean?

Answer 7

Well I wouldn't use that, I'd use the fact that:

\[\log_5(\frac{1}{25}) = \log_5(5^{-2})\] and so log base 5 asks us what exponent is on 5? that exponent is -2, so the answer is -2.

Answer 8

\[\log_5 \left(\frac{1}{25}\right) = \frac{\log\left(\frac{1}{25}\right)}{\log(5)} = \frac{\log(1) -\log(5^2)}{\log(5)}=...\]