Question

If b^p = N, then which of the following is true?

log_b N = p
log_p N = b
log_N b =p
N^1/b = p

Not that familiar with log stuff, could someone assist me?

Answer 1

If you have time, see
https://www.khanacademy.org/math/algebra/logarithms-tutorial/logarithm_basics/v/logarithms

logs "undo" exponents.

if you have
\[ a^b = c \\ \text{ take the log base a of both sides}\\
\log_a(a^b) =\ \log_a(c) \\
b = \log_a(c)
\]

Answer 2

Oh. I think I understand so.
\[b^p = N\]
\[\log_b b^p = \log_b N\]
\[p = \log_b N\]

Answer 3

Yes.

Answer 4

Thank you both.