Question

Simplify the logarithm log2(32)

Answer 1

\[y = \log_{b}x \rightarrow x = b^{y}\]

Answer 2

log(5) I think... not sure

Answer 3

When doing logarithms, the first thing you wanna do is factor.

Answer 4

\[
32 = 2^5
\]

Answer 5

\[
\log_2(2^5) = 5\log_2(2)
\]

Answer 6

Once you factor you can use various properties: \[
\log(a\times b) = \log(a) + \log(b) \\
\log(a^b) = b\times \log (a)\\
\log_a(a) = 1
\]