What is log_{7}(3x^4y^3)-log_{7}(5x^6y^3) ?

The solution to log_{7}(3x^4y^3)-log_{7}(5x^6y^3) is log_{7}(3/(5x^2))

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simplify log_{7}(3x^4y^3)-log_{7}(5x^6y^3)

simplify

lo g_{7} (3 x^{4} y^{3}) - lo g_{7} (5 x^{6} y^{3})

lo g_{7} (\frac{3}{5 x ^{2}})

Solution steps

lo g_{7} (3 x^{4} y^{3}) - lo g_{7} (5 x^{6} y^{3})

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{7} (3 x^{4} y^{3}) - lo g_{7} (5 x^{6} y^{3}) = lo g_{7} (\frac{3 x ^{4} y ^{3}}{5 x ^{6} y ^{3}})

= lo g_{7} (\frac{3 x ^{4} y ^{3}}{5 x ^{6} y ^{3}})

Cancel

\frac{3 x ^{4} y ^{3}}{5 x ^{6} y ^{3}} : \frac{3}{5 x ^{2}}

= lo g_{7} (\frac{3}{5 x ^{2}})

- lo g_{10} (1.6 \cdot 1 0^{- 2})

3 lo g_{10} (a) - lo g_{10} (b)

ln ∣ sin (x) ∣ + ln ∣ sec (x) ∣

lo g_{10} (n lo g_{10} (n))

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

What is log_{7}(3x^4y^3)-log_{7}(5x^6y^3) ?
The solution to log_{7}(3x^4y^3)-log_{7}(5x^6y^3) is log_{7}(3/(5x^2))