What is expand log_{10}((y^9)/(x^8)) ?

The solution to expand log_{10}((y^9)/(x^8)) is 9log_{10}(y)-8log_{10}(x)

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expand log_{10}((y^9)/(x^8))

expand

lo g_{10} (\frac{y ^{9}}{x ^{8}})

9 lo g_{10} (y) - 8 lo g_{10} (x)

Solution steps

lo g_{10} (\frac{y ^{9}}{x ^{8}})

Apply log rule:

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

lo g_{10} (\frac{y ^{9}}{x ^{8}}) = lo g_{10} (y^{9}) - lo g_{10} (x^{8})

= lo g_{10} (y^{9}) - lo g_{10} (x^{8})

Apply log rule:

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

lo g_{10} (y^{9}) = 9 lo g_{10} (y)

= 9 lo g_{10} (y) - lo g_{10} (x^{8})

Apply log rule:

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

lo g_{10} (x^{8}) = 8 lo g_{10} (x)

= 9 lo g_{10} (y) - 8 lo g_{10} (x)

ln (\frac{1}{3}) - e^{- (3)^{3}}

lo g_{1.8} (\frac{3.57}{3.92}) + 50.65 - 51.6

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

ln (9) + ln (2)

2 [(ln (x + 3) + ln (x) - ln (x^{2} - 1))]

What is expand log_{10}((y^9)/(x^8)) ?
The solution to expand log_{10}((y^9)/(x^8)) is 9log_{10}(y)-8log_{10}(x)