Find each value. If applicable, give an approximation to four decimal places. See Example 1. . log 63

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Hello everybody. I hope you're doing. All right. Today, today we're gonna be looking at this math question that's asking us to evaluate the following logarithmic expression. And if it is appropriate to write the answer in decimal round it to four decimal places, now, the expression that they provide us is log of 71. And the answer choices are a three B 2.8319 C 1.1652 N D 1.8513. Now, when looking at a logarithmic question, the first thing you gotta ask yourself is, is there any way to change his expression into something else? Let's say, for example, if you had two numbers multiplying each other or if you had two logs adding or subtracting, are there any rules that you can add that, that you can use to turn this into a different expression? Let's say the quo rule or the product rule or you sometimes you can even turn a logarithm equation into an exponential equation. In this case, none of those apply. Um Because we have just one log, we don't have, let's say two logs adding each other or performing some type of action um on each other. So we only have one log of a number and it's not equal to anything. So we can't turn it into an exponential equation either. So what we're left with is just simply putting and plugging this into our calculator. So we just put log of 71 into our calculator. And without rounding the calculator answer would be 1. five. And it's telling us to round to four decimal places. So we have to stop it at the two. And we see that the number after the two is a five. Therefore, we will be rounding up. So our rounded answer will be 1. and that will be the answer for this question or in this case, letter D. So I hope that was helpful. And until next time.

Find each value. If applicable, give an approximation to four decimal places. See Example 1. . log 63

Verified Solution

Key Concepts

Logarithms

Base of a Logarithm

Approximation and Rounding