What is simplify-9log_{10}(y)+7log_{10}(x) ?

The solution to simplify-9log_{10}(y)+7log_{10}(x) is log_{10}((x^7)/(y^9))

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simplify-9log_{10}(y)+7log_{10}(x)

simplify

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

lo g_{10} (\frac{x ^{7}}{y ^{9}})

Solution steps

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

Apply log rule:

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

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

= - lo g_{10} (y^{9}) + 7 lo g_{10} (x)

Apply log rule:

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

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

= - lo g_{10} (y^{9}) + lo g_{10} (x^{7})

Apply log rule:

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

lo g_{10} (x^{7}) - lo g_{10} (y^{9}) = lo g_{10} (\frac{x ^{7}}{y ^{9}})

= lo g_{10} (\frac{x ^{7}}{y ^{9}})

5 ln (\frac{4 x - 1}{2 x + 1}) + x^{2} + 3 - 2 e^{0}

2 [ln (x) - ln (x + 1) - ln (x - 1)]

ln (6 (ln (x))^{8})

ln (y) - ln (x) - \frac{1}{2} ln (y^{2} + 1)

ln (\frac{729}{625})

What is simplify-9log_{10}(y)+7log_{10}(x) ?
The solution to simplify-9log_{10}(y)+7log_{10}(x) is log_{10}((x^7)/(y^9))