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Popular >

simplify log_{b}(xy)

Solution

simplify

lo g_{b} (x y)

Solution

lo g_{b} (x) + lo g_{b} (y)

Solution steps

lo g_{b} (x y)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{b} (x y) = lo g_{b} (x) + lo g_{b} (y)

= lo g_{b} (x) + lo g_{b} (y)

Popular Examples

simplify log_{6}(x)-2log_{6}(y)+log_{6}(z)simplify

lo g_{6} (x) - 2 lo g_{6} (y) + lo g_{6} (z)

simplify-log_{10}(5*10^{-3})simplify

- lo g_{10} (5 \cdot 1 0^{- 3})

expand log_{5}((sqrt(x)\sqrt[3]{y^2})/(z^4))expand

simplify 2ln(x)+3ln(y)-5ln(z)simplify

2 ln (x) + 3 ln (y) - 5 ln (z)

simplify ln(x^9)-1/4 ln(x^{-7})simplify

ln (x^{9}) - \frac{1}{4} ln (x^{- 7})

Frequently Asked Questions (FAQ)

What is log_{b}(xy) ?
The solution to log_{b}(xy) is log_{b}(x)+log_{b}(y)