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Math Help - Easy - Restating Exponential Equations

  1. #1
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    Easy - Restating Exponential Equations

    Restate each in exponential form:

    1) log_aa^3

    My work:

    a = a^3

    --

    2) log_bb^ \frac {3}{2}

    My work:

    b = b^ \frac {3}{2}

    --

    3)  log_kk^{\sqrt3}

    My work:

    k = k^{\sqrt3}

    --

    4)  log_22^{x}

    My work:

    2 = 2^{x}


    Can someone check my work, and if it's wrong can you please tell me how to correct it?
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  2. #2
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    Krizalid's Avatar
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    This is just the application of the property \log_aa=1 & \log a^b=b\cdot\log a.
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  3. #3
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    Quote Originally Posted by Krizalid View Post
    This is just the application of the property \log_aa=1 & \log a^b=b\cdot\log a.
    okay....can you check my answers then...?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Macleef View Post
    okay....can you check my answers then...?
    that was Krizalid's way of telling you you are wrong...on all of them. use his rules and try again

    another rule that may come in handy, but that can be derived from the rules Krizalid gave is: \log_aa^x = x

    you seem to be confused as to how to interpret logarithms. see post #4 here
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  5. #5
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    Can you give me examples to demonstrate the rules?
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  6. #6
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    Quote Originally Posted by Jhevon View Post
    that was Krizalid's way of telling you you are wrong...on all of them. use his rules and try again

    another rule that may come in handy, but that can be derived from the rules Krizalid gave is: \log_aa^x = x

    you seem to be confused as to how to interpret logarithms. see post #4 here
    I don't know how to simplify non numeric values with numeric exponents and vice versa...or do I just leave it the way it is?

    ex.

    log_aa^3

    a^{3} = a^{3} ???
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  7. #7
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Macleef View Post
    I don't know how to simplify non numeric values with numeric exponents and vice versa...or do I just leave it the way it is?

    ex.

    log_aa^3

    a^{3} = a^{3} ???
    \log_aa^3 = 3 \log_a a = 3(1) = 3 .........by the rules Krizalid gave you
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