What is log_{b}(1/10)+log_{b}(50) ?

The solution to log_{b}(1/10)+log_{b}(50) is log_{b}(5)

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simplify log_{b}(1/10)+log_{b}(50)

simplify

lo g_{b} (\frac{1}{10}) + lo g_{b} (50)

lo g_{b} (5)

Solution steps

lo g_{b} (\frac{1}{10}) + lo g_{b} (50)

Apply log rule:

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

lo g_{b} (\frac{1}{10}) + lo g_{b} (50) = lo g_{b} (\frac{1}{10} \cdot 50)

= lo g_{b} (\frac{1}{10} \cdot 50)

\frac{1}{10} \cdot 50 = 5

= lo g_{b} (5)

lo g_{2} (5) + lo g_{2} (x)

lo g_{10} (z^{3} x^{5} y)

\frac{1}{2} (lo g_{7} (r - 2) - lo g_{7} (r))

lo g_{b} (x^{2}) y

lo g_{4} (5) + lo g_{4} (9)

What is log_{b}(1/10)+log_{b}(50) ?
The solution to log_{b}(1/10)+log_{b}(50) is log_{b}(5)