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# Help with simultaneous equations using logarithms watch

1. 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!
2. (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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