What is log_{5}(4)-log_{5}(11) ?

The solution to log_{5}(4)-log_{5}(11) is log_{5}(4/11)

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simplify log_{5}(4)-log_{5}(11)

simplify

lo g_{5} (4) - lo g_{5} (11)

lo g_{5} (\frac{4}{11})

Decimal Notation

- 0.62854 \dots

Solution steps

lo g_{5} (4) - lo g_{5} (11)

Apply log rule:

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

lo g_{5} (4) - lo g_{5} (11) = lo g_{5} (\frac{4}{11})

= lo g_{5} (\frac{4}{11})

lo g_{\frac{1}{3}} (2 x)

2 lo g_{c} (x) + 5 lo g_{c} (y) - 5 lo g_{c} (x)

\frac{1}{2} ln (10)

lo g_{a} (+ 2 lo g_{b} (x))

lo g_{10} (y^{7}) - lo g_{10} (y^{2})

What is log_{5}(4)-log_{5}(11) ?
The solution to log_{5}(4)-log_{5}(11) is log_{5}(4/11)