What is log_{2}(96)+log_{2}(32) ?

The solution to log_{2}(96)+log_{2}(32) is log_{2}(3072)

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simplify log_{2}(96)+log_{2}(32)

simplify

lo g_{2} (96) + lo g_{2} (32)

lo g_{2} (3072)

Decimal Notation

11.58496 \dots

Solution steps

lo g_{2} (96) + lo g_{2} (32)

Apply log rule:

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

lo g_{2} (96) + lo g_{2} (32) = lo g_{2} (96 \cdot 32)

= lo g_{2} (96 \cdot 32)

Multiply the numbers:

96 \cdot 32 = 3072

= lo g_{2} (3072)

(x^{2} + 2 x + 1)^{2}

(- 1 + 8 i) (8 + 6 i)

lo g_{6} ((\frac{x}{216})^{4})

(- 6 - 10 i) (2 - 3 i)

What is log_{2}(96)+log_{2}(32) ?
The solution to log_{2}(96)+log_{2}(32) is log_{2}(3072)