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Popular >

simplify 8log_{2}(16)

Solution

simplify

8 lo g_{2} (16)

Solution

32

Solution steps

8 lo g_{2} (16)

Factor the number:

16 = 2^{4}

= 8 lo g_{2} (2^{4})

Apply log rule:

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

lo g_{2} (2^{4}) = 4

= 8 \cdot 4

Multiply the numbers:

8 \cdot 4 = 32

= 32

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Frequently Asked Questions (FAQ)

What is 8log_{2}(16) ?
The solution to 8log_{2}(16) is 32