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m_a_m_a [10]
2 years ago
10

What is 2 log 5 + 5 log x written as a single logarithm?

Mathematics
2 answers:
garik1379 [7]2 years ago
7 0

Answer:

log (25 x^5)

Step-by-step explanation:

2 log 5 + 5 log x

We know alog b = log b^a

log 5^2 + log x^5

We know log a + log b = log (a*b)

log ( 5^2 * x^5)

5^2 = 25

log (25 x^5)

Viktor [21]2 years ago
5 0

Answer:

log ( 25x⁵)

Step-by-step explanation:

  • 2log5 + 5log x

use a×log × b = log b^a to transform the expression.

  • log 5² + log c⁵

use log x + log y = log ( x×y ) to simplify the expression

  • log ( 5² x⁵)

Evaluate the power

  • log ( 25x⁵)

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Suppose the parent population has an exponential distribution with a mean of 15 and standard deviation of 12. Use the Central Li
bazaltina [42]

Answer:

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 15

Standard deviaiton = 12

Sample of 30

By the Central Limit Theorem

Mean 15

Standard deviation s = \frac{12}{\sqrt{30}} = 2.19

Approximately normal

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

4 0
3 years ago
Write each expression as a single natural logarithm. ln 3+ ln 4
Oduvanchick [21]

Expression as a single natural logarithm is 2.48490664979.

<h3>What is natural logarithm?</h3>

ln 3+ ln 4

ln (3×4)

ln(12) =2.48490664979

The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

To learn more about natural logarithm from the given link:

brainly.com/question/20785664

#SPJ4

5 0
1 year ago
What is -14 divided by -2
Svetradugi [14.3K]
A negative divided by a negative is a positive, so -14/-2 = 7
Hope this helped!
5 0
3 years ago
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Sawyer fills 1/6 of his gas tank in 3/4 of a minute. How many minutes will it take Sawyer to fill his gas tank?
Radda [10]

Answer:

.75 * 6 = 4.5 minutes

Step-by-step explanation:

.75 is 3/4 multiply by 6 because 6/6 is a whole tank of gas.

Sawyers tank takes 4.5 minutes to be filled up.

5 0
2 years ago
Read 2 more answers
135 miles in 3 hours is miles in 1 hour.
Vanyuwa [196]

Answer:

45 miles in 1 hour

Step-by-step explanation:

135/3 = 45

45 miles in 1 hour

8 0
2 years ago
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