What is expand log_{10}((y^7)/x) ?

The solution to expand log_{10}((y^7)/x) is 7log_{10}(y)-log_{10}(x)

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expand log_{10}((y^7)/x)

expand

lo g_{10} (\frac{y ^{7}}{x})

7 lo g_{10} (y) - lo g_{10} (x)

Solution steps

lo g_{10} (\frac{y ^{7}}{x})

Apply log rule:

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

lo g_{10} (\frac{y ^{7}}{x}) = lo g_{10} (y^{7}) - lo g_{10} (x)

= lo g_{10} (y^{7}) - lo g_{10} (x)

Apply log rule:

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

lo g_{10} (y^{7}) = 7 lo g_{10} (y)

= 7 lo g_{10} (y) - lo g_{10} (x)

lo g_{10} (\frac{x ^{3}}{z y ^{4}})

lo g_{10} (30) + lo g_{10} (\frac{1}{10})

ln (14 x y)

6 x^{2} (x^{3} + 4) + ln (2 x) + 1

lo g_{10} (\frac{x ^{2}}{4 y ^{3}})

What is expand log_{10}((y^7)/x) ?
The solution to expand log_{10}((y^7)/x) is 7log_{10}(y)-log_{10}(x)