What is expand log_{10}(x^9z) ?

The solution to expand log_{10}(x^9z) is 9log_{10}(x)+log_{10}(z)

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expand log_{10}(x^9z)

expand

lo g_{10} (x^{9} z)

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

Solution steps

lo g_{10} (x^{9} z)

Apply log rule:

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

lo g_{10} (x^{9} z) = lo g_{10} (x^{9}) + lo g_{10} (z)

= lo g_{10} (x^{9}) + lo g_{10} (z)

Apply log rule:

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

lo g_{10} (x^{9}) = 9 lo g_{10} (x)

= 9 lo g_{10} (x) + lo g_{10} (z)

ln (t^{x} (1 - t)^{1 - x})

ln (\frac{x ^{5} ( x - 7 ) ^{6}}{( x ^{2} + 8 ) ^{4}})

- \frac{8.31 \cdot 310}{9.65 \cdot 1 0 ^{4}} \cdot ln (\frac{140}{4})

ln (\frac{n + 1}{n})

ln ∣ x ∣ + ln ∣ 2 x + 1 ∣

What is expand log_{10}(x^9z) ?
The solution to expand log_{10}(x^9z) is 9log_{10}(x)+log_{10}(z)