What is log_{4}(5)-log_{4}(9) ?

The solution to log_{4}(5)-log_{4}(9) is log_{4}(5/9)

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simplify log_{4}(5)-log_{4}(9)

simplify

lo g_{4} (5) - lo g_{4} (9)

lo g_{4} (\frac{5}{9})

Decimal Notation

- 0.42399 \dots

Solution steps

lo g_{4} (5) - lo g_{4} (9)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{4} (5) - lo g_{4} (9) = lo g_{4} (\frac{5}{9})

= lo g_{4} (\frac{5}{9})

lo g_{2} (x + 1) - lo g_{2} (x - 1)

\frac{1}{9} (lo g_{2} (z) + 4 lo g_{2} (y))

\frac{3 lo g _{10} ( 2 )}{lo g _{10} ( 2 ) - lo g _{10} ( 3 )}

lo g_{10} (z^{6} y)

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

What is log_{4}(5)-log_{4}(9) ?
The solution to log_{4}(5)-log_{4}(9) is log_{4}(5/9)