Halp please. Medal will be awarded Express in terms of log 2 (3) and log 2 (5) log 2 (1/6sqrt2)

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Halp please. Medal will be awarded Express in terms of log 2 (3) and log 2 (5) log 2 (1/6sqrt2)

Mathematics
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can you just check my work please @hartnn
|dw:1360922596470:dw|
correct so far?

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you got the 1st and second term correct. whats your 3rd term ? check/try it again
my 3rd term is supposed to be sqrt 2. How else should i write it? all i can think of is 2 to the power of a half
yes, first step, \(\log_2 (1/ 6\sqrt2)= \log_2 1- \log_2(6\sqrt 2)\) i think you are clear on this step. now for \(\log_2(6\sqrt2)\) use \(\log ab=\log a+\log b\)
log 2(6) + log 2(2^1/2)
correct, so far you have, \(\log_21-(\log_26+\log_22^{1/2})\) now take the term, \(\log_2 2^{1/2}=...?\)
Also, log of 1 in any base = 0 because a^0 =1
yea so it will be 1/2
well the 3rd term
so -log2(6) - 1/2? :D
correct, so are you clear till here : \(0-(\log 6+1/2)\) now how can you write 6 as ?
yes, but its still needs to simplify
oh you can write 6 as -(log2(3) + log2(2) +1/2) -(log2(3) + 3/2)
-log2(3) - 3/2 :D
very good! \(\huge \color{red}{\checkmark }\)
hehe mine sucks lol
copy and paste doesnt work :(
do one thing, right click on that tick, select 'Show Math As' and then "Tex Commands" and then copy that code. :)
or copy this : `\huge \color{red}{\checkmark }` and write it in between `\[` and `\]`
you can change the color if you want :)
\[\huge \color{purple}{\checkmark }\]\[\huge \color{purple}{\checkmark }\]\[\huge \color{purple}{\checkmark }\]
Thanks :D
nice :) welcome ^_^

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