What is expand log_{10}(x^7z) ?

The solution to expand log_{10}(x^7z) is 7log_{10}(x)+log_{10}(z)

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expand log_{10}(x^7z)

expand

lo g_{10} (x^{7} z)

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

Solution steps

lo g_{10} (x^{7} z)

Apply log rule:

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

lo g_{10} (x^{7} z) = lo g_{10} (x^{7}) + lo g_{10} (z)

= lo g_{10} (x^{7}) + lo g_{10} (z)

Apply log rule:

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

lo g_{10} (x^{7}) = 7 lo g_{10} (x)

= 7 lo g_{10} (x) + lo g_{10} (z)

ln (10) + ln (20)

ln (\frac{∣ a ∣}{2}) + ln \frac{a}{2} + h

4 ln (x) + \frac{1}{3} ln (x - 3) - 4 ln (2 x - 1) - 2022

\frac{1}{2} ln (\frac{1}{2})

ln (4) + 6 ln (x) - 2 ln (y)

What is expand log_{10}(x^7z) ?
The solution to expand log_{10}(x^7z) is 7log_{10}(x)+log_{10}(z)