Question

I need help with simplifying logarithms
log[4]{log[3](log[2] 8)}

Answer 1

like this?:
\[\log_4(\log_3(\log_2(8)))\]

Answer 2

yes, except the 8 is not in it's own parenthesis

Answer 3

lets look at the inside part first:
\[\log_2(8) = \log_2(2^{3}) = 3\]
so now we have:
\[\log_4(\log_3(3))\]

Answer 4

\[\log_3(3) = 1\]
so now we have:
\[\log_4(1)\]
and the log of 1 equals 0 no matter what the base, so the final answer is 0 :)

Answer 5

is there anything you need me to explain in more detail?