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Which of the below statements is correct and then explain your answer
log2(10) is greater than 3
log2(10) is less than 3

Sagot :

Answer:

Greater than 3

Step-by-step explanation:

Logarithms explain the relationship between exponents.

Think of them as such, except they got their bases and exponents switched.

In this logarithm:

[tex]log2(10)[/tex]

basically says 2 to the power of what gets you to 10.

Now let's experiment: 2^2=4, 2^3=8. 2^4=16.

Wait, we already crossed 10. Now we know that log2(10) must be in between 3 and 4. We don't need to find the exact value, because thats not what the question asked.

It's between 3 and 4, so it has to be greater than 3 but less than 4. Thee is your answer!

Have a nice day! :)