What is log_{4}(9xy) ?

The solution to log_{4}(9xy) is log_{2}(3)+log_{4}(x)+log_{4}(y)

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simplify log_{4}(9xy)

simplify

lo g_{4} (9 x y)

lo g_{2} (3) + lo g_{4} (x) + lo g_{4} (y)

Solution steps

lo g_{4} (9 x y)

Apply log rule:

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

lo g_{4} (9 x y) = lo g_{4} (9) + lo g_{4} (x) + lo g_{4} (y)

= lo g_{4} (9) + lo g_{4} (x) + lo g_{4} (y)

lo g_{4} (9) = lo g_{2} (3)

= lo g_{2} (3) + lo g_{4} (x) + lo g_{4} (y)

3 - 3 lo g_{6} (2) - lo g_{6} (9)

ln (x^{8} 5 - x)

lo g_{10} (\frac{10 10 x}{0.1})

ln (8 x)

What is log_{4}(9xy) ?
The solution to log_{4}(9xy) is log_{2}(3)+log_{4}(x)+log_{4}(y)