What is log_{b}(6)+log_{b}(4) ?

The solution to log_{b}(6)+log_{b}(4) is log_{b}(24)

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simplify log_{b}(6)+log_{b}(4)

simplify

lo g_{b} (6) + lo g_{b} (4)

lo g_{b} (24)

Solution steps

lo g_{b} (6) + lo g_{b} (4)

Apply log rule:

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

lo g_{b} (6) + lo g_{b} (4) = lo g_{b} (6 \cdot 4)

= lo g_{b} (6 \cdot 4)

Multiply the numbers:

6 \cdot 4 = 24

= lo g_{b} (24)

\frac{1}{2} ln (8) - ln (32)

ln (\frac{b}{a})

lo g_{2} (\frac{x ^{2}}{x ^{3} + 1})

lo g_{5} (3) + lo g_{5} (6)

lo g_{5} (3) + lo g_{5} (8)

What is log_{b}(6)+log_{b}(4) ?
The solution to log_{b}(6)+log_{b}(4) is log_{b}(24)