We can expand the logarithm of a product as a sum of logarithms:

Then using the change of base formula, we can derive the relationship

This immediately tells us that

Notice that none of
can be equal to 1. This is because

for any choice of
. This means we can safely do the following without worrying about division by 0.

so that

Similarly,

so that

So we end up with

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Another way to do this:



Then

So we have

Answer:
2. can not be 3 bc it would 5
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
64+53+ (ㅣ) = 180
117 + (ㅣ) = 180
(ㅣ) = 63
Answer:

Step-by-step explanation:
we know that
To find out how much fabric Jen has left for the shorts, subtract the yards of fabric used in her new dress from the total yards of fabric Jen has.
so

Convert mixed number to an improper fraction

substitute

Convert to mixed number
