![]() ![]() So then, in that case, we have an equation now, and we can just add one to both sides of the equation and say that six is equal to X. Well, in a situation like this again, if we set the basis equal to each other by saying that 32 is to to the fifth power again, we can essentially just disregard the basis and just work with the powers in which case five could be set equal to X minus one. Sometimes we'll say, Oh, maybe 32 is equal to two X minus one Power. So then, in that case, since five is equal to X, that's what we saw. So then, if we can rewrite this as to to the fifth, power is equal to to to the X well, at this point, since we know that the two and the two are equal to each other, we know that the only way for them the basis equal each other is if the exponents are equal to each other So at that point you could essentially just disregard the bases and just work with the exponents and say that five is equal to X. For example, if we have we're dealing with 32 is equal to to to the X Well, 32 is the same thing as two to fifth power. ![]() And the reason why that would work is if we have something like, Oh, age of the sea power the equal to be to the deep power If you can get the A and the B rewrite it in a way that they're the same. The sea is the power for the exponents so you can get the same face so that you can basically get the that powers to equal. Another thing to keep in mind is that you can, if you can get the same base, so same base. So that's kind of a good first step to take for some of these ones. And if we take the base raised to the equal opposite of the equal sign, um, power, it's going to be equal to the B value so we can rewrite it like this. And we will basically take a log we invited as an expert in using the rule that log face A of B is equal to see. Um, to re rewrite has been an experiment. So a lot of what that involves, especially in this Siri's, we are gonna think about how we can rewrite as exponents. Such is the power or the product rule question rule or change of phase, or rewriting it as exponents and basically using those methods that we don't have to use a calculator in order to be able to evaluate a lot. Um, using, um, basically just rules that we've learned in the past. But in this context, the only thing that is a little bit special about it is that we are going to learn how to solve these logs. ![]() Hey, so this video is going to be about evaluating logs? So when we say evaluating logs, that's just a fancy way of saying to solve logs. ![]()
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