What is expand log_{10}(u^3)v^2 ?

The solution to expand log_{10}(u^3)v^2 is 3log_{10}(u)v^2

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expand log_{10}(u^3)v^2

expand

lo g_{10} (u^{3}) v^{2}

3 lo g_{10} (u) v^{2}

Solution steps

lo g_{10} (u^{3}) v^{2}

Apply log rule:

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

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

= 3 lo g_{10} (u) v^{2}

ln (6 e^{2 x - y})

ln (2 e)

lo g_{4} (x^{4}) (y)

6 ln (2) + ln (\frac{π ^{8}}{5})

3 ln (3) + 4 ln (b)

What is expand log_{10}(u^3)v^2 ?
The solution to expand log_{10}(u^3)v^2 is 3log_{10}(u)v^2