I understand some of this but my instructor doesn't give clear instructions, can someone help?

Question

anonymous · Answer

Given that log_2(r) = 14.11, log_2(z) = 10.47, and log_2(x) = 14.91, find the following:

log_2(root(11)(z^10/(r^5x^8)))

alekos · Answer

its equal to  log_2(sqrt11)z^10 -  log_2(r^5)(x^8)

which becomes log_2(sqrt11) + log_2(z^10 - log_2(r^5) - log_2(x^8)

do you follow so far?

anonymous · Answer

Yes

alekos · Answer

OK good, then we get......

0.5log_2(11) + 10log_2(z) - 5log_2(r) - 8log_2(x)

happy with that?

anonymous · Answer

Where does the 0.5 come from?

alekos · Answer

sqrt11 = 11^0.5

anonymous · Answer

okay thank you :)

alekos · Answer

I'll let you take it from here, just substitute values and calculate log_2(11)