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Math Help - Double check my answers? Thank you!~

  1. #1
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    Smile Double check my answers? Thank you!~

    Solve the following equation:



    I did it this way. Is it correct?









    Thank you very much!
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  2. #2
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    Re: Double check my answers? Thank you!~

    But the answer at the back is 7. If my answer is wrong how do i solve it then? thanks a lot!
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  3. #3
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    Re: Double check my answers? Thank you!~

    in a case like this, just sub in the value of x and solve both sides and see if they are equal.
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    Re: Double check my answers? Thank you!~

    Quote Originally Posted by pumbaa213 View Post
    Solve the following equation:



    I did it this way. Is it correct?









    Thank you very much!
    12^x is not the same as 4*3^x

    You should solve it like this:

    12^x=(3^x)(2^{x+7})

    But 2^{x+7}=(2^x)(2^7)

    So you have

    12^x=(3^x)(2^x)(2^7)=(6^x)(2^7)

    Can you solve that?

    Let us know if you need more help!
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    Re: Double check my answers? Thank you!~

    Thank you sakonpure6 and Cesc1 for your guys help! I think i'll still need more assistance on how to solve the question. I've tried but im still not sure what to do after this step.

    12^x=(6^x)(2^7)

    How should i split 12^x to get a 6 and 2? Thank you!!
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    Re: Double check my answers? Thank you!~

    Quote Originally Posted by pumbaa213 View Post
    Thank you sakonpure6 and Cesc1 for your guys help! I think i'll still need more assistance on how to solve the question. I've tried but im still not sure what to do after this step.

    12^x=(6^x)(2^7)

    How should i split 12^x to get a 6 and 2? Thank you!!
    12^x=(6^x)(2^7)

    But 12^x=(6*2)^x=(6^x)(2^x)

    So (6^x)(2^x)=(6^x)(2^7)

    Divide both sides by 6^x and you get

    2^x=2^7

    So x=7
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    Re: Double check my answers? Thank you!~

    Thanks for the reply. But mind if i ask, wont (6^x) x (2^x) give you 12^x^2?
    Sorry if im wrong. I had a huge break from math! ><
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    Re: Double check my answers? Thank you!~

    WAIT! I get it!! ^V^
    THANKS EVERYBODY! YOU'VE bEEN OF GREAT HELP! <3
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