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9 grade maths

How do you evaluate log₂ 16?

Profile image of Aniket Singh
11 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer11 Months ago

To evaluate log₂ 16, you need to determine what power you raise 2 to in order to get 16. In simpler terms, you are looking for the exponent x in the equation:

Understanding the Equation

We can express this as:

2x = 16

Breaking Down 16

Next, let's rewrite 16 as a power of 2:

  • 16 = 24

Setting the Exponents Equal

Now, we can set the exponents equal to each other:

x = 4

Final Result

Thus, log₂ 16 equals 4. In summary:

log₂ 16 = 4