find-the-exact-value-of-each-expression-without-a-calculator-text-a-ln-1-e-quad-text-b-log-_10-sqrt1

Question

Find the exact value of each expression (without a
calculator.)
$$
	ext { (a) }ln (1 / e) \quad 	ext { (b) } \log _{10} \sqrt{10}
$$

Amy Jiang · Accepted Answer

Okay, so let&#x27;s start by writing one over me as in negative log or a negative exponent. That&#x27;s oland of eats and part of negative one. Or call that Ellen is log based e. So this is this equal to negative one since our E. R log based E cancels. And now for part B, we can write the square root the power of 1/2, and we see that our law based time and our base 10 cancels and we&#x27;re left with 1/2.

Carlos Pinilla · Answer

So you want to find the second buddies of each expression? Well, you know, to property. So they know over them. So, for we&#x27;ll bury their be any vase. Little Bay was b ableto on in there with the freedoms plus a little more bait. Leslie. So these works in any base. You&#x27;re doing a little bass sea of a time. Speak. You goto with more, baby see? Plus, I mean off the indecency Biava. So, Bauer and the vote being, uh, the power comes down from there. So? So that that would be also be times very moves base here. Okay, so, uh, Well, uh, here you can write that, Juan. So if these terms will no, A over B is gonna be the same. Us obstructing logarithms. Hey, miners. So these these go there would be equal to absolutely the worst one minus, I colluded on wolf. Yeah, but also these my syrup. So I was really them is the same us love. And so when you ask, uh, what is, uh, well, base a be in these equal tow X, but he&#x27;s, uh But he&#x27;s solving the question toe. Which power do I need to raise a to get, uh, to get me. So the stars said the witch power do I need to race? Hey, base to get, uh So here&#x27;s the bars here. I need Terese eight to the Bar of X to get me, but they&#x27;re here. Which power? But I need the rice e pretty well, one because you today, e you did a one she wants to eat. So what we&#x27;re trying to solve is there? Is there one there which border the race? Eat the e one. So these, uh, number Well, there&#x27;s some lines. Have a nice So minus minus six of these number. It would be my nose one on our boat here. That screwed you can. He&#x27;s, like, 10 to the 1/2 but it is quote so well, you participle. Are you done? You can bring that one. No. So you&#x27;re B Balto? He was gonna be one, huh? Over overdoing base tan 10. So? Well, this theme is there any nights a year, which body needs to rest and to get them well to the war of one. So it&#x27;s gonna be just one up. These will have days. They would be minus one

Jeyasree R T · Answer

we need to find the exact while You have to give in love with them without using a calculator. So the given love themis lock based in or squared OK, yet why will do love to the based in off squared off? Then we know that Why equal to look to the base gay off X? If only if a forward why equal to X using this property, we can try to this and why does quite well off and Justin for why he would do in bacon. Since we have same basis, we can meet with the experience So we get right upto one. Thank you. Therefore you off the given below them is 1.2

Amy Jiang · Answer

Okay, so it&#x27;s representing the sequel toe. And in reality, this is an exponents. This is attentive. Power of X is equal to the square root of ton. What a square root of tennis tented part of 1/2. And now that we have the same base that we know about, our exponents are equal to X must equal to 1/2.

Amy Jiang · Answer

Okay, so we call that if we have you to Poland. A That&#x27;s this equal to a So what we can do here for part a is you can bring in our power. That is, we have e to the hole in a 52 par of negative two. And then Ari and Ellen cancels. So we&#x27;re left with five part native to, and that&#x27;s equal to 1/25. Now for part B, we have Ellen of E. So that&#x27;s cancels and we&#x27;re left with easy to power of 10. And then one more time Elena cancels our love of 10.

Sujit Kumar · Answer

implication our their 1st 1st question we need to get with the value of flow that age given under log. So the best ain 1000. So this would be three. Always listen to the power three. Then there were because it wasn&#x27;t. It looks to in the B. We need to calculate log 2016 and we can vary the the log off two into 20. Power four. That means for obviously under in the next part. Off this question. See, in this part, we need to calculate log 10 and zero point 01 And now we can target a log 10 and tend to the power off minus two Onda. It would call each managed to and know next part of the Swiss in the region. Log Island off for We need to calculate the log off, uh, it to the power three or the Ellen off the so that he would be the base when it comes to Ellen. And the sensor would be three. And now the next part in this part, we need to calculate Eleanor for Route E and obviously based off the an angel with s, So it would be I learnt off or log off to the body to the bar one by two and which is one by two.

Problem

Find the exact value of each expression (without …

Problem 44 Medium Difficulty

Find the exact value of each expression (without a
calculator.)
$$
\text { (a) }ln (1 / e) \quad \text { (b) } \log _{10} \sqrt{10}
$$

Answer

a) -1
b) $\frac{1}{2}$

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a) -1b) $\frac{1}{2}$

Essential Calculus Early Transcendentals

Anna Marie V.

Samuel H.

Michael J.

Joseph L.

Precalculus Review - Intro

Functions on the Real Line - Overview

James StewartEssential Calculus Early Transcendentals

Anna Marie V.

Samuel H.

Michael J.

Joseph L.

a) -1
b) $\frac{1}{2}$

James Stewart

Essential Calculus Early Transcendentals