What is expand log_{9}(4np^3) ?

The solution to expand log_{9}(4np^3) is 2log_{9}(2)+log_{9}(n)+3log_{9}(p)

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expand log_{9}(4np^3)

expand

lo g_{9} (4 n p^{3})

2 lo g_{9} (2) + lo g_{9} (n) + 3 lo g_{9} (p)

Solution steps

lo g_{9} (4 n p^{3})

Apply log rule:

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

lo g_{9} (4 n p^{3}) = lo g_{9} (4) + lo g_{9} (n) + lo g_{9} (p^{3})

= lo g_{9} (4) + lo g_{9} (n) + lo g_{9} (p^{3})

Apply log rule:

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

lo g_{9} (p^{3}) = 3 lo g_{9} (p)

= lo g_{9} (4) + lo g_{9} (n) + 3 lo g_{9} (p)

lo g_{9} (4) = 2 lo g_{9} (2)

= 2 lo g_{9} (2) + lo g_{9} (n) + 3 lo g_{9} (p)

lo g_{7} (\frac{u ^{3}}{v})

ln (6 x^{8})

\frac{1}{3} (2 ln (x) + ln (y) - 2 ln (z))

\frac{1}{2} ln (\frac{1 + sin ( x )}{1 - sin ( x )})

lo g_{10} (z^{4} y)

What is expand log_{9}(4np^3) ?
The solution to expand log_{9}(4np^3) is 2log_{9}(2)+log_{9}(n)+3log_{9}(p)