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

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

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expand log_{10}(x^2z)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

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} (z)

ln (\frac{75}{27})

ln (\frac{0.16}{12})

ln (6) - ln (4) - ln (7) + ln (5)

ln (x^{2} + x) + I n e - ln (x + 1)

64 ln (2 e) - 19

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