log 10, 000 = y What does y equal?

log(10,000) = 4 = y

rewrite 10,000 in power base form. = 10000 = 10^4

apply the log rule,\( \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\)

\(\log _{10}\left(10^4\right)=4\log _{10}\left(10\right)\)

so, \(4\log _{10}\left(10\right)\)

apply the other log rule: \(\log _a\left(a\right)=1\)

\(\log _{10}\left(10\right)=1\)

= 1*4

= 4