What is log_{2/5}(125/8) ?

The solution to log_{2/5}(125/8) is 3log_{2/5}(5)-3log_{2/5}(2)

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simplify log_{2/5}(125/8)

simplify

lo g_{\frac{2}{5}} (\frac{125}{8})

3 lo g_{\frac{2}{5}} (5) - 3 lo g_{\frac{2}{5}} (2)

Decimal Notation

- 3

Solution steps

lo g_{\frac{2}{5}} (\frac{125}{8})

Apply log rule:

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

lo g_{\frac{2}{5}} (\frac{125}{8}) = lo g_{\frac{2}{5}} (125) - lo g_{\frac{2}{5}} (8)

= lo g_{\frac{2}{5}} (125) - lo g_{\frac{2}{5}} (8)

lo g_{\frac{2}{5}} (125) = 3 lo g_{\frac{2}{5}} (5)

lo g_{\frac{2}{5}} (8) = 3 lo g_{\frac{2}{5}} (2)

= 3 lo g_{\frac{2}{5}} (5) - 3 lo g_{\frac{2}{5}} (2)

\frac{2}{3}

\frac{m ^{2} - n ^{2}}{( m + n ) ^{2}}

\frac{5 x}{2}

5 \times 8

lo g_{9} (\frac{1}{729})

What is log_{2/5}(125/8) ?
The solution to log_{2/5}(125/8) is 3log_{2/5}(5)-3log_{2/5}(2)