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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{5} (7) + lo g_{5} (x) = lo g_{5} (7 x)

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

ln (x^{3}) - ln (x^{6}) + ln (x^{4})

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

\frac{ln ( 6 ) + ln ( 2 )}{lo g _{10} ( 6 ) + lo g _{10} ( 2 )}

\frac{1}{3} lo g_{c} (x) + 4 lo g_{c} (y) - 5 lo g_{c} (x)

lo g_{3} (3 x)

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