What is log_{4}(2)+2log_{4}(3) ?

The solution to log_{4}(2)+2log_{4}(3) is log_{4}(18)

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simplify log_{4}(2)+2log_{4}(3)

simplify

lo g_{4} (2) + 2 lo g_{4} (3)

lo g_{4} (18)

Decimal Notation

2.08496 \dots

Solution steps

lo g_{4} (2) + 2 lo g_{4} (3)

Apply log rule:

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

2 lo g_{4} (3) = lo g_{4} (3^{2})

= lo g_{4} (2) + lo g_{4} (3^{2})

Apply log rule:

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

lo g_{4} (2) + lo g_{4} (3^{2}) = lo g_{4} (2 \cdot 3^{2})

= lo g_{4} (2 \cdot 3^{2})

2 \cdot 3^{2} = 18

= lo g_{4} (18)

x - ln (e^{x} cos (x))

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

ln (\frac{83}{4})

ln (\frac{1}{1 + e ^{- x}})

lo g_{3} (\frac{27}{x + 7})

What is log_{4}(2)+2log_{4}(3) ?
The solution to log_{4}(2)+2log_{4}(3) is log_{4}(18)