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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

3 lo g_{10} (x) = lo g_{10} (x^{3})

= lo g_{10} (3) - lo g_{10} (x^{3})

Apply log rule:

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

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

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

\frac{1}{4} lo g_{c} (x) + 5 lo g_{c} (y) - 3 lo g_{c} (x)

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

lo g_{a} (\frac{h k ^{5}}{m n ^{3}})

2 lo g_{2} (2 x)

ln (e^{3} y^{5})

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