What is 3log_{7}(x)-2log_{7}(y) ?

The solution to 3log_{7}(x)-2log_{7}(y) is log_{7}((x^3)/(y^2))

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simplify 3log_{7}(x)-2log_{7}(y)

simplify

3 lo g_{7} (x) - 2 lo g_{7} (y)

lo g_{7} (\frac{x ^{3}}{y ^{2}})

Solution steps

3 lo g_{7} (x) - 2 lo g_{7} (y)

Apply log rule:

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

3 lo g_{7} (x) = lo g_{7} (x^{3})

= lo g_{7} (x^{3}) - 2 lo g_{7} (y)

Apply log rule:

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

2 lo g_{7} (y) = lo g_{7} (y^{2})

= lo g_{7} (x^{3}) - lo g_{7} (y^{2})

Apply log rule:

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

lo g_{7} (x^{3}) - lo g_{7} (y^{2}) = lo g_{7} (\frac{x ^{3}}{y ^{2}})

= lo g_{7} (\frac{x ^{3}}{y ^{2}})

- lo g_{10} (3.72 \cdot 1 0^{- 5})

- lo g_{10} (7.21 \cdot 1 0^{- 7})

ln (- x) + ln (2)

- lo g_{10} (2.36 x 1 0^{- 3})

- lo g_{10} (3.52 (1 0^{- 3}))

What is 3log_{7}(x)-2log_{7}(y) ?
The solution to 3log_{7}(x)-2log_{7}(y) is log_{7}((x^3)/(y^2))