What is 3log_{10}(9)-3log_{10}(x) ?

The solution to 3log_{10}(9)-3log_{10}(x) is log_{10}((729)/(x^3))

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simplify 3log_{10}(9)-3log_{10}(x)

simplify

3 lo g_{10} (9) - 3 lo g_{10} (x)

lo g_{10} (\frac{729}{x ^{3}})

Solution steps

3 lo g_{10} (9) - 3 lo g_{10} (x)

3 lo g_{10} (9) = lo g_{10} (9^{3})

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

= lo g_{10} (9^{3}) - lo g_{10} (x^{3})

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{10} (9^{3}) - lo g_{10} (x^{3}) = lo g_{10} (\frac{9 ^{3}}{x ^{3}})

= lo g_{10} (\frac{9 ^{3}}{x ^{3}})

Simplify

\frac{9 ^{3}}{x ^{3}} : \frac{729}{x ^{3}}

= lo g_{10} (\frac{729}{x ^{3}})

2 lo g_{10} (9) - 2 lo g_{10} (x)

ln (e (x + 2))

lo g_{10} (f) - \frac{1}{3} lo g_{10} (g) + 4 lo g_{10} (h)

ln (\frac{10 - 0.319}{22.4 - 0.319})

What is 3log_{10}(9)-3log_{10}(x) ?
The solution to 3log_{10}(9)-3log_{10}(x) is log_{10}((729)/(x^3))