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Find the minimum value of $$2 \log_{10} x - \log_x \frac{1}{100}$$ for x > 1.

Aug 29, 2019

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a=2; c=2*log(a) - logn(a, (1/100));printc, a; a++;if(a<100, goto1, 0):
The minimum value occurs at x = 10
2 \log_{10} x - \log_x \frac{1}{100} = 4 - which is the minimum value

Aug 29, 2019