What is log_{b}(3)+log_{b}(5) ?

The solution to log_{b}(3)+log_{b}(5) is log_{b}(15)

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simplify log_{b}(3)+log_{b}(5)

simplify

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

lo g_{b} (15)

Solution steps

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

Apply log rule:

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

lo g_{b} (3) + lo g_{b} (5) = lo g_{b} (3 \cdot 5)

= lo g_{b} (3 \cdot 5)

Multiply the numbers:

3 \cdot 5 = 15

= lo g_{b} (15)

lo g_{10} (\frac{y}{z})

- lo g_{10} (5.6 \cdot 1 0^{- 10})

2 lo g_{10} (M) - 3 lo g_{10} (N)

ln (x) - ln (x + 5) - 5 ln (9)

lo g_{b} (\frac{x ( x + 2 ) ^{2}}{( x - 2 ) ^{4}})

What is log_{b}(3)+log_{b}(5) ?
The solution to log_{b}(3)+log_{b}(5) is log_{b}(15)