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

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

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expand log_{10}(x^3z)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

lo g_{b} (Y) + lo g_{b} (Z)

ln (x^{5}) - 2 ln (x)

ln (y) - ln (1 - y)

lo g_{5} (k^{2} - 25) - lo g_{5} (k - 5)

lo g_{10} (\frac{y z ^{4}}{x})

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