If log 3 = x and log 4 = y, express log(2/3) in terms of x and y.
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Originally Posted by magentarita If log 3 = x and log 4 = y, express log(2/3) in terms of x and y. y = log(4) = log(2^2) = 2 log(2) log(2/3) = log(2) - log(3) = y/2 - x
Originally Posted by running-gag y = log(4) = log(2^2) = 2 log(2) log(2/3) = log(2) - log(3) = y/2 - x I see that log 4 became 2 log(2) but where did you place the exponent 2 after bringing it down in front of log(2)?
Originally Posted by magentarita I see that log 4 became 2 log(2) but where did you place the exponent 2 after bringing it down in front of log(2)? If 2log(2) = y, then log(x) = y/2.
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