What is log_{b}(60)+log_{b}(3) ?

The solution to log_{b}(60)+log_{b}(3) is log_{b}(180)

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simplify log_{b}(60)+log_{b}(3)

simplify

lo g_{b} (60) + lo g_{b} (3)

lo g_{b} (180)

Solution steps

lo g_{b} (60) + lo g_{b} (3)

Apply log rule:

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

lo g_{b} (60) + lo g_{b} (3) = lo g_{b} (60 \cdot 3)

= lo g_{b} (60 \cdot 3)

Multiply the numbers:

60 \cdot 3 = 180

= lo g_{b} (180)

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What is log_{b}(60)+log_{b}(3) ?
The solution to log_{b}(60)+log_{b}(3) is log_{b}(180)