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johnnyalln

  • 3 years ago

Solve for x: \frac{ 1 }{ 27 }=9^{7x+3}

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  1. johnnyalln
    • 3 years ago
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    I will adjust the format.. one moment..

  2. mukushla
    • 3 years ago
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    make the bases of 2 sides equal to each other then u can equate the powers and find the value of x.

  3. johnnyalln
    • 3 years ago
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    \[1/27=9^7x+3\]

  4. mukushla
    • 3 years ago
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    u mean\[\frac{ 1 }{ 27 }=9^{7x+3}\]

  5. johnnyalln
    • 3 years ago
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    i get 3^3?

  6. johnnyalln
    • 3 years ago
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    yes, sorry

  7. mukushla
    • 3 years ago
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    np :) ... yeah u r close but note that\[\frac{1}{27}=\frac{1}{3^3}=3^{-3}\]

  8. johnnyalln
    • 3 years ago
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    oh of course! got that..

  9. johnnyalln
    • 3 years ago
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    and then make the 9 = 3^2?

  10. mukushla
    • 3 years ago
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    yeah...quite right

  11. johnnyalln
    • 3 years ago
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    \[3^{-3}=3^{14x+6}\]

  12. mukushla
    • 3 years ago
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    Right...

  13. mukushla
    • 3 years ago
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    now go for solving for x

  14. johnnyalln
    • 3 years ago
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    \[-\frac{ 9 }{ 14 }\]

  15. johnnyalln
    • 3 years ago
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    you rock! thanks for the help.. the -3 is what got me! :)

  16. mukushla
    • 3 years ago
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    yw :)

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