What is log_{10}(b)(1/b) ?

The solution to log_{10}(b)(1/b) is (log_{10}(b))/b

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simplify log_{10}(b)(1/b)

simplify

lo g_{10} (b) (\frac{1}{b})

\frac{lo g _{10} ( b )}{b}

Solution steps

lo g_{10} (b) (\frac{1}{b})

Apply rule:

(a) = a

(\frac{1}{b}) = \frac{1}{b}

= lo g_{10} (b) \frac{1}{b}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{lo g _{10} ( b ) \cdot 1}{b}

Apply rule:

a \cdot 1 = a

lo g_{10} (b) \cdot 1 = lo g_{10} (b)

= \frac{lo g _{10} ( b )}{b}

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