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

The solution to 3log_{10}(9)+3log_{10}(x) is log_{10}(729x^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} (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} (x y)

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

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

Simplify

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

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

ln (p^{x} (1 - p)^{n - x})

3.3 (lo g_{10} (1601.01) - lo g_{10} (3))

ln (\frac{e}{3})

lo g_{6} (36 p)

2 lo g_{10} (x) + lo g_{10} (5 x)

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