What is expand log_{7}(5y(3y+4)) ?

The solution to expand log_{7}(5y(3y+4)) is log_{7}(5)+log_{7}(y)+log_{7}(3y+4)

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expand log_{7}(5y(3y+4))

expand

lo g_{7} (5 y (3 y + 4))

lo g_{7} (5) + lo g_{7} (y) + lo g_{7} (3 y + 4)

Solution steps

lo g_{7} (5 y (3 y + 4))

Apply log rule:

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

lo g_{7} (5 y (3 y + 4)) = lo g_{7} (5) + lo g_{7} (y) + lo g_{7} (3 y + 4)

= lo g_{7} (5) + lo g_{7} (y) + lo g_{7} (3 y + 4)

ln (\frac{1}{2 5 ^{k}})

\frac{1}{2} (lo g_{6} (k^{9}) - lo g_{6} (k^{3}))

lo g_{2} (\frac{x ^{2}}{y ^{6}})

lo g_{4} (4 x^{2})

- \frac{2}{6} lo g_{2} (\frac{2}{6}) - \frac{4}{6} lo g_{2} (\frac{4}{6})

What is expand log_{7}(5y(3y+4)) ?
The solution to expand log_{7}(5y(3y+4)) is log_{7}(5)+log_{7}(y)+log_{7}(3y+4)