What is expand log_{9}((x/y)^4) ?

The solution to expand log_{9}((x/y)^4) is 4(log_{9}(x)-log_{9}(y))

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expand log_{9}((x/y)^4)

expand

lo g_{9} ((\frac{x}{y})^{4})

4 (lo g_{9} (x) - lo g_{9} (y))

Solution steps

lo g_{9} ((\frac{x}{y})^{4})

Apply log rule:

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

lo g_{9} ((\frac{x}{y})^{4}) = 4 lo g_{9} (\frac{x}{y})

= 4 lo g_{9} (\frac{x}{y})

Apply log rule:

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

lo g_{9} (\frac{x}{y}) = lo g_{9} (x) - lo g_{9} (y)

= 4 (lo g_{9} (x) - lo g_{9} (y))

- lo g_{10} (5.7 (1 0^{- 8}))

- lo g_{10} (9.49 \cdot 1 0^{- 1})

lo g_{10} (\frac{2 x ^{5}}{( 7 + x ) ^{4}})

lo g_{3} (x \cdot sin (x))

ln (4 t)

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