What is log_{4}(7)-log_{4}(5) ?

The solution to log_{4}(7)-log_{4}(5) is log_{4}(7/5)

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simplify log_{4}(7)-log_{4}(5)

simplify

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

lo g_{4} (\frac{7}{5})

Decimal Notation

0.24271 \dots

Solution steps

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

Apply log rule:

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

lo g_{4} (7) - lo g_{4} (5) = lo g_{4} (\frac{7}{5})

= lo g_{4} (\frac{7}{5})

ln (\frac{11}{2})

9 ln (x) - \frac{1}{8} ln (y)

lo g_{3} (4 x^{2} y^{5})

ln (\frac{s ^{2} + 9}{s ^{2} + 1})

ln (\frac{5}{6 x ^{6} y})

What is log_{4}(7)-log_{4}(5) ?
The solution to log_{4}(7)-log_{4}(5) is log_{4}(7/5)