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anonymous

  • one year ago

Logarithm question

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  1. anonymous
    • one year ago
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    \[7\ln \left| \frac{ x+\sqrt{x^{2} - 7} }{ \sqrt{7} } \right| = 7(\ln \left| x+\sqrt{x ^{2}-7} \right| -\ln \sqrt{7} \]

  2. yamyam70
    • one year ago
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    are we asked to prove?

  3. IrishBoy123
    • one year ago
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    you're missing a bracket and call that numerator inside the log something like "A" and re-write it again. it might look way less foreboding

  4. rishavraj
    • one year ago
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    \[\log a^x = x \log a~~~~ and ~~~~ \log a - \log b = \log \frac{ a }{ b }\]

  5. dinamix
    • one year ago
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    hey ln|x|= ln x i mean u can remove it

  6. dinamix
    • one year ago
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    proof|dw:1440351441869:dw|

  7. mathmate
    • one year ago
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    In any case, the following is an identity, use the standard identities given by @rishavraj to prove the followin: \(\large 7\ln \left| \frac{ x+\sqrt{x^{2} - 7} }{ \sqrt{7} } \right| = 7(\ln \left| x+\sqrt{x ^{2}-7} \right| -\ln \sqrt{7})\)

  8. dinamix
    • one year ago
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    @mathmate @IrishBoy123 my prove i draw it right ;p

  9. amistre64
    • one year ago
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    ln|x| and ln x do not have the same domain, therefore they are not the same

  10. IrishBoy123
    • one year ago
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    +1 @amistre64

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