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anonymous

  • one year ago

If (9^2)p = 9^8, what is the value of p? 2 3 4 6

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  1. DanJS
    • one year ago
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    is p also a power of that 9^2 term?

  2. anonymous
    • one year ago
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    Yes @DanJS

  3. DanJS
    • one year ago
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    \[[9^2]^p = 9^8\]

  4. DanJS
    • one year ago
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    recall, a power raised to a power is simplified by multiplying the powers [9^2]^p = 9^(2*p)

  5. DanJS
    • one year ago
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    Since you have the same bases raised to different powers, you can equate the powers from both sides 2p = 8

  6. DanJS
    • one year ago
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    Or if you need work, take the log base 9 of both sides, move the powers down in front...

  7. anonymous
    • one year ago
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    So its D? Or did I do my math wrong?

  8. DanJS
    • one year ago
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    2p = 8

  9. DanJS
    • one year ago
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    \[9^{2p}=9^8\] \[\log_{9}9^{2p} = \log_{9}9^8 \] \[(2p)*\log_{9}9 = 8 * \log_{9}9\] \[2p * 1 = 8*1~~~~~~~~~~~;p=4\]

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