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anonymous

  • one year ago

−4log2(n)−23=−19

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  1. UnkleRhaukus
    • one year ago
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    first, add 23 to both sides

  2. anonymous
    • one year ago
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    (-4) -4log 2 (n)=42 (-4)

  3. anonymous
    • one year ago
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    oops not 42 but 4

  4. UnkleRhaukus
    • one year ago
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    type it again

  5. anonymous
    • one year ago
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    (-4) -4log 2 (n)=4 (-4)

  6. UnkleRhaukus
    • one year ago
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    what are the (-4)'s doing? you don't need them

  7. anonymous
    • one year ago
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    -4log 2 (n)=4

  8. anonymous
    • one year ago
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    sorry i thought you multiple both sides

  9. UnkleRhaukus
    • one year ago
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    Good, now divide both sides by -4

  10. anonymous
    • one year ago
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    how do you know how to divide vs multiple?

  11. anonymous
    • one year ago
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    log 2 (n)=-1

  12. UnkleRhaukus
    • one year ago
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    well the left hand side has \[\color{blue}{-4}\log_2 (n)=4\] to get red of this on the left hand side, we need to apply inverse operation i.e. we need to divide by \(\color{blue}{-4}\)

  13. UnkleRhaukus
    • one year ago
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    to get rid*

  14. UnkleRhaukus
    • one year ago
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    this is like when we had \[−4\log_2(n)+{\color{orange}{-23}}=−19\], so we added \(\color{orange}{23}\) to both sides (the inverse operation)

  15. anonymous
    • one year ago
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    ohh ok

  16. UnkleRhaukus
    • one year ago
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    \[\frac1{\color{blue}{-4}}\times\color{blue}{-4}\log_2 (n)=\frac1{\color{blue}{-4}}\times4\]

  17. UnkleRhaukus
    • one year ago
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    which simplifies to . . . .

  18. anonymous
    • one year ago
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    log 2 n = -1

  19. UnkleRhaukus
    • one year ago
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    correct! now apply the definition of a log

  20. anonymous
    • one year ago
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    n = .5?

  21. anonymous
    • one year ago
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    i entered that and its says it wrong

  22. anonymous
    • one year ago
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    wait nvm

  23. anonymous
    • one year ago
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    ok, well thanks so much!

  24. UnkleRhaukus
    • one year ago
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    check solution by plugging them back into the original equation \[−4\log_2(0.5)-23=-19\\−4\log_2(2^{-1})-23=-19\\ -4\times-1-23=-19\\ 4-23 = -19\\ -19=-19\] True!

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