SOLUTION: how do you evaluate the logarithm 3 log(base2)of2 - log(base2)of4?

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 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 397152: how do you evaluate the logarithm 3 log(base2)of2 - log(base2)of4?Answer by lwsshak3(6490)   (Show Source): You can put this solution on YOUR website!how do you evaluate the logarithm 3 log(base2)of2 - log(base2)of4? 3 log(base2)of2 - log(base2)of4 log2(2^3)-log2(4) (power rule) log2(2^3)/4 (division rule) log2(8/4) log2(2)=1 (The logarithm of its base is always equal to 1, that is, the base,2, must be raised to what number(logarithm=1) to equal 2. ans: (3 log(base2)of2 - log(base2)of4) = 1 check: 3log2(2)=3 log2(4)=log2(2^2)=2 3-2=1