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What is the value of this logarithmic e ession?
log2 16 - log₂ 4

User EzeTeja
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Final answer:

The value of log2 16 - log2 4 simplifies to the logarithm of 16 divided by 4, which is log2 4. Knowing that 2 squared is 4, the answer is 2.

Step-by-step explanation:

The value of the logarithmic expression log2 16 - log2 4 can be simplified by using the properties of logarithms. Specifically, we can use the property that states the logarithm of a quotient is equal to the difference of the logarithms (loga(b/c) = logab - logac). Therefore, we can rewrite the expression as log2(16/4). Since 16/4 equals 4, and 22 equals 4, the expression simplifies to 2.

User Nunchy
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