What is expand log_{10}(x^2yz^3) ?

The solution to expand log_{10}(x^2yz^3) is 2log_{10}(x)+log_{10}(y)+3log_{10}(z)

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expand log_{10}(x^2yz^3)

expand

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

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

Solution steps

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

Apply log rule:

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

lo g_{10} (x^{2} y z^{3}) = lo g_{10} (x^{2}) + lo g_{10} (y) + lo g_{10} (z^{3})

= lo g_{10} (x^{2}) + lo g_{10} (y) + lo g_{10} (z^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (x^{2}) = 2 lo g_{10} (x)

= 2 lo g_{10} (x) + lo g_{10} (y) + lo g_{10} (z^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 2 lo g_{10} (x) + lo g_{10} (y) + 3 lo g_{10} (z)

(ln (1.3) - ln (0.54)) \cdot 182000

ln (\frac{y ^{3}}{7})

lo g_{w} (\frac{13 w}{2})

- lo g_{10} (2.19 \cdot 1 0^{- 3})

\frac{1}{1.212855959 \cdot 1 0 ^{- 4}} ln (\frac{100}{23})

What is expand log_{10}(x^2yz^3) ?
The solution to expand log_{10}(x^2yz^3) is 2log_{10}(x)+log_{10}(y)+3log_{10}(z)