What is log_{4}(5)-log_{4}(3) ?

The solution to log_{4}(5)-log_{4}(3) is log_{4}(5/3)

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simplify log_{4}(5)-log_{4}(3)

simplify

lo g_{4} (5) - lo g_{4} (3)

lo g_{4} (\frac{5}{3})

Decimal Notation

0.36848 \dots

Solution steps

lo g_{4} (5) - lo g_{4} (3)

Apply log rule:

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

lo g_{4} (5) - lo g_{4} (3) = lo g_{4} (\frac{5}{3})

= lo g_{4} (\frac{5}{3})

\frac{lo g _{10} ( 2 x ) + lo g _{10} ( 4 x ^{2} )}{3}

4 ln (θ) + 9 ln (1 - θ)

2 lo g_{b} (2) - lo g_{b} (7) - 4 lo g_{b} (5)

lo g_{10} (30) - lo g_{10} (5)

lo g_{5} (25 (x^{2} - 49))

What is log_{4}(5)-log_{4}(3) ?
The solution to log_{4}(5)-log_{4}(3) is log_{4}(5/3)