What is log_{12}(9)+log_{12}(16) ?

The solution to log_{12}(9)+log_{12}(16) is 2

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simplify log_{12}(9)+log_{12}(16)

simplify

lo g_{12} (9) + lo g_{12} (16)

2

Solution steps

lo g_{12} (9) + lo g_{12} (16)

Apply log rule:

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

lo g_{12} (9) + lo g_{12} (16) = lo g_{12} (9 \cdot 16)

= lo g_{12} (9 \cdot 16)

Multiply the numbers:

9 \cdot 16 = 144

= lo g_{12} (144)

Factor the number:

144 = 1 2^{2}

= lo g_{12} (1 2^{2})

Apply log rule:

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

= 2

5 b - 5 b = - 7

3 d^{2} + 8 d - 3 = 0

6 x^{2} + 17 x + 5 = 0

x = 3 x - 4

3 y^{2} + 2 y - 1 = 0

What is log_{12}(9)+log_{12}(16) ?
The solution to log_{12}(9)+log_{12}(16) is 2