What is log_{3}(6)+log_{3}(4.5) ?

The solution to log_{3}(6)+log_{3}(4.5) is 3

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simplify log_{3}(6)+log_{3}(4.5)

simplify

lo g_{3} (6) + lo g_{3} (4.5)

3

Solution steps

lo g_{3} (6) + lo g_{3} (4.5)

Apply log rule:

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

lo g_{3} (6) + lo g_{3} (4.5) = lo g_{3} (6 \cdot 4.5)

= lo g_{3} (6 \cdot 4.5)

Multiply the numbers:

6 \cdot 4.5 = 27

= lo g_{3} (27)

Factor the number:

27 = 3^{3}

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

Apply log rule:

lo g_{a} (a^{b}) = b

= 3

23 \cdot 96

4 x^{2} + 28 x + 40

\frac{- 1}{a ^{- 2}}

1 2^{2} + x^{2} = 1 5^{2}

3 x - 9 \geq - 3