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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (3) + 2 ln (2)

3 lo g_{10} (a) - 2 lo g_{10} (b)

ln^{2} (\frac{1}{4})

ln (\frac{( x - 3 ) ^{4} x}{x + 1})

2 lo g_{10} (x) - lo g_{10} (3)

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