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anonymous

  • one year ago

If (44)x = 432, what is the value of x? 4 7 8 28

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  1. anonymous
    • one year ago
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    \[4^{4})x = 4^{32}\]

  2. Michele_Laino
    • one year ago
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    is your equation like this? \[\Large {44^x} = 432\]

  3. anonymous
    • one year ago
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    no its like the one i just wrote in there

  4. Michele_Laino
    • one year ago
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    sorry!

  5. anonymous
    • one year ago
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    its okay (:

  6. anonymous
    • one year ago
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    x=8

  7. anonymous
    • one year ago
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    your not supposed to give the answer

  8. Michele_Laino
    • one year ago
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    then we have to divide both sides by 4^4, so we get: \[\Large \frac{{{4^4}x}}{{{4^4}}} = \frac{{{4^{32}}}}{{{4^4}}}\] please simplify

  9. anonymous
    • one year ago
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    32/ 4 = 8 s therefore x=8

  10. anonymous
    • one year ago
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    you have to multiply the exponents that are 4 and x and make them equal to 32 4*x=32 x=32/4 x=8

  11. Michele_Laino
    • one year ago
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    hint: \[\Large \begin{gathered} \frac{{{4^4}}}{{{4^4}}} = {4^4}:{4^4} = {4^{4 - 4}} = {4^0} = ... \hfill \\ \hfill \\ \frac{{{4^{32}}}}{{{4^4}}} = {4^{32}}:{4^4} = {4^{32 - 4}} = ...? \hfill \\ \end{gathered} \]

  12. anonymous
    • one year ago
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    michele the answer is x=8 i already got it

  13. Michele_Laino
    • one year ago
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    ok! then your equation is: \[\Large {4^{4x}} = {4^{32}}\]

  14. anonymous
    • one year ago
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    so the answer is 8

  15. Michele_Laino
    • one year ago
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    good job! @ana123456

  16. Michele_Laino
    • one year ago
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    correct!

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