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

The solution to log_{b}(2)+2log_{b}(5) is log_{b}(50)

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

simplify

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

lo g_{b} (50)

Solution steps

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

Apply log rule:

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

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

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

2 \cdot 5^{2} = 50

= lo g_{b} (50)

ln (e i)

ln (\frac{x}{x ^{2} + 2})

lo g_{5} (\frac{y}{25})

2 ln (x) - 3 ln (y) + 4 ln (t)

ln (\frac{e ^{6}}{11})

What is log_{b}(2)+2log_{b}(5) ?
The solution to log_{b}(2)+2log_{b}(5) is log_{b}(50)