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PLEASE HELP I'LL RATE 5 STARS
What is the value of this logarithmic expression?

PLEASE HELP I'LL RATE 5 STARS What is the value of this logarithmic expression?-example-1
User Cwingrav
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Answer: 2

Explanation:

We can simplify the given logarithmic expression using the logarithmic property that states:

log a base b - log c base b = log (a/c) base b

Using this property, we can rewrite the expression as follows:

log 16 base 2 - log 4 base 2 = log (16/4) base 2

Simplifying the numerator of the logarithm, we get:

log (16/4) base 2 = log 4 base 2

Now, we can evaluate the logarithm using the definition of logarithm, which states that:

log b base a = x if and only if a = b^x

In this case, we have:

log 4 base 2 = x if and only if 2^x = 4

We know that 2 raised to what power gives 4? It is 2, because 2^2 = 4.

Therefore, we have:

log 4 base 2 = 2

Hence, the value of the given logarithmic expression is 2.

User Artem Yu
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