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

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

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

simplify

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

lo g_{4} (18)

Decimal Notation

2.08496 \dots

Solution steps

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

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

Apply log rule:

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

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

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

3^{2} \cdot 2 = 18

= lo g_{4} (18)

ln (\frac{1}{4 9 ^{k}})

lo g_{8} (\frac{8}{x})

lo g_{10} (\frac{a ^{4}}{b ^{5}})

lo g_{b} (\frac{1}{18})

lo g_{10} (x^{2} + 3 x + 2) - 2 lo g_{10} (x + 1)

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