What is log_{10}(x^5y^4) ?

The solution to log_{10}(x^5y^4) is 5log_{10}(x)+4log_{10}(y)

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simplify log_{10}(x^5y^4)

simplify

lo g_{10} (x^{5} y^{4})

5 lo g_{10} (x) + 4 lo g_{10} (y)

Solution steps

lo g_{10} (x^{5} y^{4})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (x^{5} y^{4}) = lo g_{10} (x^{5}) + lo g_{10} (y^{4})

= lo g_{10} (x^{5}) + lo g_{10} (y^{4})

lo g_{10} (x^{5}) = 5 lo g_{10} (x)

lo g_{10} (y^{4}) = 4 lo g_{10} (y)

= 5 lo g_{10} (x) + 4 lo g_{10} (y)

lo g_{5} (\frac{100}{3 x})

ln (\frac{( s ^{2} + c ^{2} ) ( s + a )}{( s + b ) ( s ^{2} - c ^{2} )})

3.34678 + lo g_{10} (\frac{0.01}{0.2})

lo g_{6} (\frac{f}{36})

- lo g_{10} (2.1 \cdot 1 0^{- 3})

What is log_{10}(x^5y^4) ?
The solution to log_{10}(x^5y^4) is 5log_{10}(x)+4log_{10}(y)