What is 2log_{10}(x)-log_{10}(11) ?

The solution to 2log_{10}(x)-log_{10}(11) is log_{10}((x^2)/(11))

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simplify 2log_{10}(x)-log_{10}(11)

simplify

2 lo g_{10} (x) - lo g_{10} (11)

lo g_{10} (\frac{x ^{2}}{11})

Solution steps

2 lo g_{10} (x) - lo g_{10} (11)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{10} (x) = lo g_{10} (x^{2})

= lo g_{10} (x^{2}) - lo g_{10} (11)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (x^{2}) - lo g_{10} (11) = lo g_{10} (\frac{x ^{2}}{11})

= lo g_{10} (\frac{x ^{2}}{11})

ln (\frac{n}{n + 2})

ln (x^{5}) - ln (x^{7}) + ln (x^{9})

lo g_{10} (0.00001 M)

ln (sec (x) tan (x))

ln (\frac{2 ^{- 2}}{3 ^{- 1} 5 ^{- 4}})

What is 2log_{10}(x)-log_{10}(11) ?
The solution to 2log_{10}(x)-log_{10}(11) is log_{10}((x^2)/(11))