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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

3 ln (x^{2} y) - 21 ln (x y) + 1

- lo g_{10} (4.8 \cdot 1 0^{- 4})

lo g_{2} (2^{5})

ln (\frac{s}{5 p})

ln ((x^{2} + 1) (x - 1))

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