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Popular >

expand log_{9}(m/8)

Solution

expand

lo g_{9} (\frac{m}{8})

Solution

lo g_{9} (m) - 3 lo g_{9} (2)

Solution steps

lo g_{9} (\frac{m}{8})

Apply log rule:

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

lo g_{9} (\frac{m}{8}) = lo g_{9} (m) - lo g_{9} (8)

= lo g_{9} (m) - lo g_{9} (8)

lo g_{9} (8) = 3 lo g_{9} (2)

= lo g_{9} (m) - 3 lo g_{9} (2)

Popular Examples

simplify 3log_{5}(x)+log_{5}(y)simplify

3 lo g_{5} (x) + lo g_{5} (y)

simplify-log_{10}(2.6*10^{-6})simplify

- lo g_{10} (2.6 \cdot 1 0^{- 6})

simplify 1/4 ln(11/7)simplify

\frac{1}{4} ln (\frac{11}{7})

simplify 3log_{10}(a)-2log_{10}(k)simplify

3 lo g_{10} (a) - 2 lo g_{10} (k)

simplify 2log_{10}(x)+1/2 log_{10}(y)simplify

2 lo g_{10} (x) + \frac{1}{2} lo g_{10} (y)

Frequently Asked Questions (FAQ)

What is expand log_{9}(m/8) ?
The solution to expand log_{9}(m/8) is log_{9}(m)-3log_{9}(2)