Rewrite the following in terms of ln 2, ln 3, and ln 5. Then use ln 2=0.693, ln 3=1.099, and ln 5=1.609.1. ln 6
2. ln (10/3)
3. ln 30
4. ln 12
5. ln (2/5)
5. ln (5/6)

Answers

Answer 1

Answer: $\log_a (b * c)=\log_a b + \log_a c \n \log_a ((b)/(c))=\log_a b-\log_a c \n \log_a b^c=c \log_a b \n \n 1. \n \ln 6=\ln (2 * 3)=\boxed{\ln 2 + \ln 3} \approx 0.693+1.099=\boxed{1.792} \n \n 2. \n \ln ((10)/(3))=\ln ((2 * 5)/(3))=\boxed{\ln 2 + \ln 5 - \ln 3} \approx 0.693+1.609-1.099=\boxed{1.203} \n \n 3. \n \ln 30=\ln (2 * 3 * 5)=\boxed{\ln 2+ \ln 3 + \ln 5} \approx 0.693+ 1.099 + 1.609=\n=\boxed{3.401}$

$4. \n\ln 12=\ln (2^2 * 3)=\ln 2^2 + \ln 3=\boxed{2 \ln 2+ \ln 3} \approx 2 * 0.693+ 1.099= \n =\boxed{2.485} \n \n5. \n\ln ((2)/(5))=\boxed{\ln 2 - \ln 5} \approx 0.693-1.609=\boxed{-0.916} \n \n6. \n\ln ((5)/(6))=\ln ((5)/(2 * 3))=\ln 5-(\ln 2+ \ln 3)=\boxed{\ln 5 - \ln 2 - \ln 3} \approx \n\approx1.609-0.693-1.099=\boxed{-0.183}$

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Answers

Answer:

I think 16

Step-by-step explanation:

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Answers

A is 5 , b is 1 , c is 4 , d is 3, and E is 2

10 is 50 percent of what number?

Answers

The expression is 10 is 50 percent of 20

How to determine the expression as a percentage

From the question, we have the following parameters that can be used in our computation:

10 is 50 percent of what number

Represent the percentage with x

So, we have

10 is 50 percent of x

Mathematically, we have

50% * x = 10

So, we have

x = 10/50%

Express percentage as decimal

x = 10/0.50

Evaluate the expression

x = 20

Hence, the number in the percentage is 20

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need to prove in words how I got my answer for, "Find the smallest number easily divisible by each counting number from 1 to 10." The answer is 2520, but I don't know how to explain how I got it. Can anyone give me a basic answer to this?