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Help with simultaneous equations using logarithms watch

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    Hi all, thank you for taking the time to help,

    Solve the simultaneuos equaitons:

    log2Y = log2 (3-2x) +1

    log4X + log4Y = 1/2

    I am familiar with the laws of logarithms but I am not sure how to use them to manipulate this problem so that I can solve it by substiution or elimination!

    Any help would be very much appreciated!
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    (Original post by davey_armstrong)
    Hi all, thank you for taking the time to help,

    Solve the simultaneuos equaitons:

    log2Y = log2 (3-2x) +1

    log4X + log4Y = 1/2

    I am familiar with the laws of logarithms but I am not sure how to use them to manipulate this problem so that I can solve it by substiution or elimination!

    Any help would be very much appreciated!
    Remove the logarithms and turn it into two simultaneous equations.

    e.g: second equation becomes log_4 xy = 1/2, so xy = 4^(1/2) so xy = 2. That's one simultaneous equation.

    Do the same with the first, hint: 1 = log_2 2.
 
 
 
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Updated: January 31, 2016
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