AonZ
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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AonZ
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can you just check my work please @hartnn
AonZ
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|dw:1360922596470:dw|
AonZ
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correct so far?
hartnn
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you got the 1st and second term correct.
whats your 3rd term ? check/try it again
AonZ
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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
hartnn
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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
\(\log ab=\log a+\log b\)
AonZ
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log 2(6) + log 2(2^1/2)
hartnn
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correct, so far you have,
\(\log_21-(\log_26+\log_22^{1/2})\)
now take the term,
\(\log_2 2^{1/2}=...?\)
hartnn
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Also, log of 1 in any base = 0
because a^0 =1
AonZ
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yea so it will be 1/2
AonZ
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well the 3rd term
AonZ
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so -log2(6) - 1/2?
:D
hartnn
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correct, so are you clear till here :
\(0-(\log 6+1/2)\)
now how can you write 6 as ?
hartnn
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yes, but its still needs to simplify
AonZ
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oh you can write 6 as
-(log2(3) + log2(2) +1/2)
-(log2(3) + 3/2)
AonZ
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-log2(3) - 3/2
:D
hartnn
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very good!
\(\huge \color{red}{\checkmark }\)
AonZ
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✓
AonZ
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hehe mine sucks lol
AonZ
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copy and paste doesnt work :(
hartnn
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do one thing,
right click on that tick, select 'Show Math As'
and then "Tex Commands"
and then copy that code. :)
hartnn
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or copy this :
`\huge \color{red}{\checkmark }`
and write it in between
`\[` and `\]`
hartnn
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you can change the color if you want :)
AonZ
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\[\huge \color{purple}{\checkmark }\]\[\huge \color{purple}{\checkmark }\]\[\huge \color{purple}{\checkmark }\]
AonZ
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Thanks :D
hartnn
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nice :) welcome ^_^