What is expand log_{10}(x^5z) ?

The solution to expand log_{10}(x^5z) is 5log_{10}(x)+log_{10}(z)

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expand log_{10}(x^5z)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= 5 lo g_{10} (x) + lo g_{10} (z)

lo g_{2} (x^{3})

ln (x) - ln (x - 2)

ln (\frac{x}{x - 5})

ln (6) + 3 ln (2)

ln (x^{3} y)

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