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Rainbow_Dash

log(7) 1/343

  • one year ago
  • one year ago

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  1. jrzyby1
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    -3

    • one year ago
  2. shandelman
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    @jrzyby1 It is against the code of conduct of the site to just give answers ESPECIALLY with zero explanation.

    • one year ago
  3. Wired
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    \[\Large b^{y}=x\] \[\Large \log_{b}{x}=y\] \[\Large \log_{7}{\frac{1}{343}}=y\] \[\Large 7^{y}=\frac{1}{343}=343^{-1}\] \[\Large 7^{y}=343^{-1}\] Solve.

    • one year ago
  4. jiteshmeghwal9
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    \[\log_{7}{1 \over 343}=x \]can change it into exponential form as\[7^x=\frac{1}{343}\]& u can write it as\[7^x=343^{-1}\]\[7^x=(7^3)^{-1}\]now u know that if the bases are equal then powers are also equal so u can write the equation as\[x=3+(-1)\]\[x=2\]

    • one year ago
  5. ParthKohli
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    Oopsie. Mistake here. ^

    • one year ago
  6. ParthKohli
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    \( \color{Black}{\Rightarrow 7^{x} = 7^{-3}}\) \( \color{Black}{\Rightarrow x = -3}\)

    • one year ago
  7. ParthKohli
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    I think you confused \((7^3)^{-1}\) with \(7^3 \times 7^{-1}\)

    • one year ago
  8. jiteshmeghwal9
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    i m sorry @ParthKohli . I was really confused

    • one year ago
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