What is 2log_{10}(x)-log_{10}(3) ?

The solution to 2log_{10}(x)-log_{10}(3) is log_{10}((x^2)/3)

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simplify 2log_{10}(x)-log_{10}(3)

simplify

2 lo g_{10} (x) - lo g_{10} (3)

lo g_{10} (\frac{x ^{2}}{3})

Solution steps

2 lo g_{10} (x) - lo g_{10} (3)

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} (3)

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} (3) = lo g_{10} (\frac{x ^{2}}{3})

= lo g_{10} (\frac{x ^{2}}{3})

ln (\frac{2 x ^{4}}{y ^{7}})

\frac{1}{2} ln ∣ 2 x + 1 ∣ + 2 ln ∣ x - 1 ∣ + C

\frac{π}{2} ln (3)

lo g_{10} (x) - 4 lo g_{10} (y)

ln (e^{x^{2}} cos (5 x - 7))

What is 2log_{10}(x)-log_{10}(3) ?
The solution to 2log_{10}(x)-log_{10}(3) is log_{10}((x^2)/3)