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AonZ

  • 2 years ago

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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  1. AonZ
    • 2 years ago
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    can you just check my work please @hartnn

  2. AonZ
    • 2 years ago
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    |dw:1360922596470:dw|

  3. AonZ
    • 2 years ago
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    correct so far?

  4. hartnn
    • 2 years ago
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    you got the 1st and second term correct. whats your 3rd term ? check/try it again

  5. AonZ
    • 2 years ago
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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

  6. hartnn
    • 2 years ago
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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 \(\log ab=\log a+\log b\)

  7. AonZ
    • 2 years ago
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    log 2(6) + log 2(2^1/2)

  8. hartnn
    • 2 years ago
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    correct, so far you have, \(\log_21-(\log_26+\log_22^{1/2})\) now take the term, \(\log_2 2^{1/2}=...?\)

  9. hartnn
    • 2 years ago
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    Also, log of 1 in any base = 0 because a^0 =1

  10. AonZ
    • 2 years ago
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    yea so it will be 1/2

  11. AonZ
    • 2 years ago
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    well the 3rd term

  12. AonZ
    • 2 years ago
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    so -log2(6) - 1/2? :D

  13. hartnn
    • 2 years ago
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    correct, so are you clear till here : \(0-(\log 6+1/2)\) now how can you write 6 as ?

  14. hartnn
    • 2 years ago
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    yes, but its still needs to simplify

  15. AonZ
    • 2 years ago
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    oh you can write 6 as -(log2(3) + log2(2) +1/2) -(log2(3) + 3/2)

  16. AonZ
    • 2 years ago
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    -log2(3) - 3/2 :D

  17. hartnn
    • 2 years ago
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    very good! \(\huge \color{red}{\checkmark }\)

  18. AonZ
    • 2 years ago
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  19. AonZ
    • 2 years ago
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    hehe mine sucks lol

  20. AonZ
    • 2 years ago
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    copy and paste doesnt work :(

  21. hartnn
    • 2 years ago
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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. :)

  22. hartnn
    • 2 years ago
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    or copy this : `\huge \color{red}{\checkmark }` and write it in between `\[` and `\]`

  23. hartnn
    • 2 years ago
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    you can change the color if you want :)

  24. AonZ
    • 2 years ago
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    \[\huge \color{purple}{\checkmark }\]\[\huge \color{purple}{\checkmark }\]\[\huge \color{purple}{\checkmark }\]

  25. AonZ
    • 2 years ago
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    Thanks :D

  26. hartnn
    • 2 years ago
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    nice :) welcome ^_^

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