![]() In expressions of the logarithm of a product and a number, we can calculate them by firstly moving the multiple from the left side of the expression and raising the exponent to the power of that multiple.Uh So this problem actually uses all three law of logs Where you have three natural log effects Plus five Natural log of why and then minus A six Natural Log of Z. And what I would do is think of the order of operations where you multiply before you add or subtract. ![]() So you need to handle the multiplying by three. Using a law of logs multiplied by five in the multiplied by six. And that law of log says that that's the same thing as natural log of X. To the third power plus natural log of Why? To the fifth power- Natural Log of Sea to the six Power. And I think I can do these two at the same time. Is that when you're adding logs, if you're going to put them together as a single log, you can multiply them and then anything to the immediately following. To the right of a subtraction is going to be a division, So it goes into the denominator, That's sort of how I teach it to my students. Why? To the fifth goes into the numerator, combining with uh edition becomes multiplication. And then the combining with subtraction is division Over Z.
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