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Math Help - help me solve this indices ASAP!!

  1. #1
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    help me solve this indices ASAP!!

    Help me to solve this thx
    Evaluate 6^x , given that 3^(x+1)*2^(2x+1)=2^(x+2)
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  2. #2
    Junior Member ibnashraf's Avatar
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    Question: Given that 3^{x+1}\times2^{2x+1}=2^{x+2},
    Required to find 6^x

    Solution: first of all simplify each index;

    3^{x+1}\times2^{2x+1}=2^{x+2}
    \Rightarrow 3^x.3^1\times2^{2x}.2^1=2^x.2^2
    \Rightarrow 3^x.3^1\times2^x.2^x.2^1=2^x.2^2

    Try to work it out from there .... combine 3^x with 2^x to give 6^x on the LHS and hence make 6^x the subject of the formula and then simplify the terms on the RHS to give the required result of 6^x=\frac{2}{3}
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  3. #3
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    wow nice i got it thanks alot
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