some short and selected math problems of different levels in random order I try to keep the ans simple
Saturday, April 11, 2020
2020/13) Solve 2\log_2(x+15) - \log_2x = 6
We have 2\log_2(x+15) - \log_2x = \log_2(x+15)^2 - \log_2(x) = \log_2\frac{(x+15)^2}{x} = 6
Or \frac{(x+15)^2}{x} = 2^6= 64
Or (x+15)^2 = 64x
Or x^2+30x+225-64x=0
Or x^2-34x+ 225=0
Or (x-25)(x-9)= 0 So x = 25 or 9
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