What is expand log_{10}(4p^3) ?

The solution to expand log_{10}(4p^3) is 2log_{10}(2)+3log_{10}(p)

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expand log_{10}(4p^3)

expand

lo g_{10} (4 p^{3})

2 lo g_{10} (2) + 3 lo g_{10} (p)

Solution steps

lo g_{10} (4 p^{3})

Apply log rule:

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

lo g_{10} (4 p^{3}) = lo g_{10} (4) + lo g_{10} (p^{3})

= lo g_{10} (4) + lo g_{10} (p^{3})

Apply log rule:

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

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

= lo g_{10} (4) + 3 lo g_{10} (p)

lo g_{10} (4) = 2 lo g_{10} (2)

= 2 lo g_{10} (2) + 3 lo g_{10} (p)

- lo g_{10} (5.34 \cdot 1 0^{- 3})

6 [ln (x) - ln (x + 5) - ln (\cdot (- 5))]

- lo g_{10} (7.9 \cdot 1 0^{- 7})

4.2 - 5 lo g_{10} (\frac{38}{10})

ln (x \frac{y}{x})

What is expand log_{10}(4p^3) ?
The solution to expand log_{10}(4p^3) is 2log_{10}(2)+3log_{10}(p)