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Math Help - INDICES

  1. #1
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    INDICES

    what is 32^x = 2 ?

    what is x? thanks
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  2. #2
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    Quote Originally Posted by abey_27 View Post
    what is 32^x = 2 ?

    what is x? thanks
    Re-write the equation:

    32^x=2~\implies~(2^5)^x=2^1

    Now solve for x.
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  3. #3
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    cheers earboth but i still dont really understand how to find x. i understand what you have done but there onwards not too sure. could you please tell me how to progress from your last comment. thank you


    Quote Originally Posted by earboth View Post
    Re-write the equation:

    32^x=2~\implies~(2^5)^x=2^1

    Now solve for x.
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  4. #4
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    Quote Originally Posted by abey_27 View Post
    cheers earboth but i still dont really understand how to find x. i understand what you have done but there onwards not too sure. could you please tell me how to progress from your last comment. thank you
    Since the bases of the 2 expressions are equal the exponents must be equal too:

    <br />
32^x=2~\implies~(2^5)^x=2^1~\implies~2^{5x} = 2^1~\implies~ 5x=1~\implies~x=\dfrac15<br />
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  5. #5
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    You then equate the indices,
    so 5x=1
    so x=1/5
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  6. #6
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    lol earboth got there before me
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  7. #7
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    lol cheers man
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