All categories

2 years ago

Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4

Mathematics

1 answer:

Alona [7]2 years ago

6 0

Answer:

$\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}$

Step-by-step explanation:

$\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}$

You might be interested in

find all the factors of 38,39 and 40. Do they have any factors in common? Explain how you can tell if some numbers have factors

Usimov [2.4K]

Answer:

Step-by-step explanation:

thousand

7 0

2 years ago

the zero of the quadratic polynomial x^2+99x+127 are a both positive b both negative c one +ve one-ve d both equal. please help

Paha777 [63]

Step-by-step explanation:

By Descrates' Rule of Signs,

x² + 99x + 127 changes sign 0 times.

Hence it has 0 positive roots.

Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.

Hence both the roots are negative. (B)

7 0

2 years ago

Read 2 more answers

Joann has decided to purchase a new car. What should she do next according to the decision-making process?

Luda [366]

Make shore she has enough money for the car. get insurance before getting a car.Then go to a good dealership not one that cheats you believe my there people out there that do that then the rest is up to u hope that HELPED.

8 0

2 years ago

Find two irrational numbers between 0.3 and 0.7?

Vesnalui [34]

Answer:

0.3101001000......

0.410100100010000....

Step-by-step explanation:

To find irrational number between any two numbers, we first need to understand what a rational and irrational number is.

Rational number is any number that can be expressed in fraction of form $p/q$ . Since q can be 1, all numbers that terminate are rational numbers. Example: 1, 12.34, 123.66663

Irrational number on the other hand can't be expressed as a fraction and do not terminate. Also, there is no pattern in numbers i.e. there is no repetition in numbers after the decimal point.

For example: 3.44444..... can be expressed as rational number 3.45.

But 3.414114111.... is an irrational number as there no pattern observed. Also,it does not terminate.

We can find infinite number of irrational numbers in between two rational numbers.

<u>Irrational numbers in between 0.3 and 0.7:</u>

0.3101001000......

0.410100100010000....

0.51010010001.......

0.6101001000....

There are many others. We can choose any two as answers.

6 0

2 years ago

Let f(x)=8/(1+3e)^(-0.7x)

Troyanec [42]

For x = -3, <span>(-0.7x) equals (-0.7[-3]), or 2.1.

8 8 8
Then f(-3) = ------------------- = ---------------- = ------------ = 0.31 (approx)
1 + 3*e^2.1 1 + 24.499 25.5</span>

5 0

2 years ago