Find each value. If applicable, give an approximation to four dec...

Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 84 - ln 17

Accepted Answer

Hello, everyone. We've been asked to evaluate the following expression and to approximate our answer to three significant figures. If necessary, the expression we are given is the natural log of 96 minus the natural log of 23. Our answer choices are a 96/23 B 23/96 C 1.43 D negative 1.43 we can solve this expression two different ways. The first way would be we take the natural log of 96 put it in a calculator and come up with the approximation 4.564348. It continues. And then we could find the approximation for the natural log of 23 which is 3.135494 and then subtract those two decimals and get 1.428854. That's one way. The other way using our logarithmic rules, we could rewrite this as the natural log of 96/23 which what I put in a calculator also results in 1.428854. Since we end up with the same decimal regardless of which way we do this, whichever way makes most sense to you is fine. We need to approximate this to three significant figures. So when I do that, that means I'm rounding into the 100th place. So it would be 1.43 as our answer and that's answer choice c have a nice day.

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Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 84 - ln 17