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

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

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simplify 3log_{10}(x)+log_{10}(y)

simplify

3 lo g_{10} (x) + lo g_{10} (y)

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

Solution steps

3 lo g_{10} (x) + lo g_{10} (y)

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} (x^{3}) + lo g_{10} (y)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

- lo g_{10} (2.7 \cdot 1 0^{20})

ln (\frac{9}{11})

2 ln (5) - 3 ln (2)

ln (d - L) + ln (d)

ln (\frac{1}{ln ( x )})

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