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Popular >

simplify log_{a/b}(b/a)

Solution

simplify

lo g_{\frac{a}{b}} (\frac{b}{a})

Solution

lo g_{\frac{a}{b}} (b) - lo g_{\frac{a}{b}} (a)

Solution steps

lo g_{\frac{a}{b}} (\frac{b}{a})

Apply log rule:

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

lo g_{\frac{a}{b}} (\frac{b}{a}) = lo g_{\frac{a}{b}} (b) - lo g_{\frac{a}{b}} (a)

= lo g_{\frac{a}{b}} (b) - lo g_{\frac{a}{b}} (a)

Popular Examples

simplify ln(8/13)simplify

ln (\frac{8}{13})

simplify 1/2 log_{b}(x)+4log_{b}(y)-3log_{b}(x)simplify

\frac{1}{2} lo g_{b} (x) + 4 lo g_{b} (y) - 3 lo g_{b} (x)

simplify log_{10}((z^4)/5)simplify

lo g_{10} (\frac{z ^{4}}{5})

simplify 2log_{3}(x)+4log_{3}(x-1)+log_{3}(y)simplify

2 lo g_{3} (x) + 4 lo g_{3} (x - 1) + lo g_{3} (y)

simplify-log_{10}(8.4*10^{-4})simplify

- lo g_{10} (8.4 \cdot 1 0^{- 4})

Frequently Asked Questions (FAQ)

What is log_{a/b}(b/a) ?
The solution to log_{a/b}(b/a) is log_{a/b}(b)-log_{a/b}(a)