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Popular >

simplify log_{4}(12*3)

Solution

simplify

lo g_{4} (12 \cdot 3)

Solution

1 + lo g_{2} (3)

+1

Decimal Notation

2.58496 \dots

Solution steps

lo g_{4} (12 \cdot 3)

Factor the number:

12 = 4 \cdot 3

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{4} (4) = 1

= 1 + lo g_{4} (3 \cdot 3)

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

= 1 + lo g_{2} (3)

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Frequently Asked Questions (FAQ)

What is log_{4}(12*3) ?
The solution to log_{4}(12*3) is 1+log_{2}(3)