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Hello, welcome to the video, and today we're going to be taking a look at logarithms.
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This problem, we're given the log base b of 7x times 2y, and this problem tells us to expand this as much as we can.
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Now, in order to do this, we need to understand our log properties.
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And for this particular problem, we'll need to know the product rule.
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And the product rule allows us to rewrite a log that looks like this into this.
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So if we have a log base b, any value b, of two things being multiplied together, we can rewrite it as log base b of, in this case, x plus log base b of the other thing being multiplied, in this case y.
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And another thing to note is that the base value always stays the same.
01:00
It's very important...