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Popular >

simplify log_{12}(3)+2log_{12}(2)

Solution

simplify

lo g_{12} (3) + 2 lo g_{12} (2)

Solution

1

Solution steps

lo g_{12} (3) + 2 lo g_{12} (2)

Apply log rule:

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

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

= lo g_{12} (3) + lo g_{12} (2^{2})

Apply log rule:

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

lo g_{12} (3) + lo g_{12} (2^{2}) = lo g_{12} (3 \cdot 2^{2})

= lo g_{12} (3 \cdot 2^{2})

3 \cdot 2^{2} = 12

= lo g_{12} (12)

Apply log rule:

lo g_{a} (a) = 1

= 1

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Frequently Asked Questions (FAQ)

What is log_{12}(3)+2log_{12}(2) ?
The solution to log_{12}(3)+2log_{12}(2) is 1