What is 9log_{10}(x)-2log_{10}(y) ?

The solution to 9log_{10}(x)-2log_{10}(y) is log_{10}((x^9)/(y^2))

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simplify 9log_{10}(x)-2log_{10}(y)

simplify

9 lo g_{10} (x) - 2 lo g_{10} (y)

lo g_{10} (\frac{x ^{9}}{y ^{2}})

Solution steps

9 lo g_{10} (x) - 2 lo g_{10} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= lo g_{10} (x^{9}) - 2 lo g_{10} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{10} (y) = lo g_{10} (y^{2})

= lo g_{10} (x^{9}) - lo g_{10} (y^{2})

Apply log rule:

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

lo g_{10} (x^{9}) - lo g_{10} (y^{2}) = lo g_{10} (\frac{x ^{9}}{y ^{2}})

= lo g_{10} (\frac{x ^{9}}{y ^{2}})

ln (399) - ln (999)

lo g_{e} (- j wl)

lo g_{e} (\frac{5}{6})

ln (\frac{90}{100}) + (\frac{1}{2} \cdot 0. 2^{2} - 0.1) \cdot 1

ln (\frac{20}{4})

What is 9log_{10}(x)-2log_{10}(y) ?
The solution to 9log_{10}(x)-2log_{10}(y) is log_{10}((x^9)/(y^2))