What is log_{b}(3)+2log_{b}(5) ?

The solution to log_{b}(3)+2log_{b}(5) is log_{b}(75)

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simplify log_{b}(3)+2log_{b}(5)

simplify

lo g_{b} (3) + 2 lo g_{b} (5)

lo g_{b} (75)

Solution steps

lo g_{b} (3) + 2 lo g_{b} (5)

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

2 lo g_{b} (5) = lo g_{b} (5^{2})

= lo g_{b} (3) + lo g_{b} (5^{2})

Apply log rule:

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

lo g_{b} (3) + lo g_{b} (5^{2}) = lo g_{b} (3 \cdot 5^{2})

= lo g_{b} (3 \cdot 5^{2})

3 \cdot 5^{2} = 75

= lo g_{b} (75)

lo g_{2} (8 x^{3})

ln (x^{- 4} y^{- 3}) + 3

lo g_{4} (\frac{z}{64})

ln (x^{8} 2 - x)

lo g_{8} (\frac{z}{14})

What is log_{b}(3)+2log_{b}(5) ?
The solution to log_{b}(3)+2log_{b}(5) is log_{b}(75)