What is expand log_{9}((w^4)/v) ?

The solution to expand log_{9}((w^4)/v) is 4log_{9}(w)-log_{9}(v)

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expand log_{9}((w^4)/v)

expand

lo g_{9} (\frac{w ^{4}}{v})

4 lo g_{9} (w) - lo g_{9} (v)

Solution steps

lo g_{9} (\frac{w ^{4}}{v})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{9} (\frac{w ^{4}}{v}) = lo g_{9} (w^{4}) - lo g_{9} (v)

= lo g_{9} (w^{4}) - lo g_{9} (v)

Apply log rule:

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

lo g_{9} (w^{4}) = 4 lo g_{9} (w)

= 4 lo g_{9} (w) - lo g_{9} (v)

ln (3^{b} a^{b})

2 lo g_{4} (y - 1) - lo g_{4} (y + 3) - 1

lo g_{10} (a^{6} b^{4})

3 ln (2) + 2 ln (x) - 12 ln (x + 4)

3 lo g_{2} (x) + lo g_{2} (y) - 5 lo g_{2} (z)

What is expand log_{9}((w^4)/v) ?
The solution to expand log_{9}((w^4)/v) is 4log_{9}(w)-log_{9}(v)