All categories

2 years ago

What is the value of log279? -3/2, -2/3, 2/3, 3/2

Mathematics

1 answer:

kaheart [24]2 years ago

3 0

Answer:

2/3

Step-by-step explanation:

log27(9)

Factor the number: 27=3³

= log3³(9)

Apply log rule: loga^b(x) - 1/b loga(x).

log3³(9) =1/3 log3³(9)

=1/3 log3³(9)

Factor the number: 9=3²

=1/3 log3³(3²)

Apply log rule: loga(a^b) =b

log3 (3²) =2

1/3×2

=2/3

You might be interested in

Suppose the distribution of home sales prices has mean k300, 000 and standard

777dan777 [17]

<u>Given</u>:

Mean,

$\mu = 300,000$

Standard deviation,

$\sigma = 50,000$

The Chebyshev theorem will be used for the solution of the given query,

i.e., $P(|X - \mu| < k \sigma ) \geq 1-\frac{1}{k^2}$

(i)

⇒ $1-\frac{1}{k^2} = 0.75$

$k = 2$

The lower limit will be:

= $\mu - k \sigma$

= $300000-2\times 50000$

= $200000$

The upper limit will be:

= $\mu + k \sigma$

= $300000+2\times 50000$

= $400000$

hence,

The 75% houses sold are between:

⇒ (200000, 400000)

(ii)

⇒ $\mu -k \sigma = Lower \ limit$

By putting the values, we get

$300000-50000k = 150000$

$300000-150000=50000k$

$150000=50000k$

$k=\frac{150000}{50000}$

$=3$

now,

⇒ $1-\frac{1}{k^2} = 1-\frac{1}{3^2}$

$=\frac{8}{9}$

$=0.8888$

$=88.88$ (%)

hence,

88.88% houses sold between 150000 and 450000.

(iii)

⇒ $\mu - k \sigma = Lower \ limit$

By putting the values, we get

$300000-50000k = 170000$

$300000-170000=50000 k$

$130000= 50000 k$

$k = \frac{130000}{50000}$

$=2.6$

now,

⇒ $1-\frac{1}{k^2} = 1-\frac{1}{2.6^2}$

$=0.8521$

$=85.21$ (%)

hence,

85.21% houses are sold between 170000 and 430000.

Learn more:

brainly.com/question/20897803

3 0

3 years ago

A tree is 3 ft tall casts a shadow that is 2 ft long. Find the length of the shadow that a 6 ft tree costs.

Anni [7]

Answer:

4 feet

Step-by-step explanation:

Plz brainliest ,Hope I could Help

6 0

3 years ago

Help 8 minutes to turn in

Alenkasestr [34]

The answer may be the second choice.

3 0

4 years ago

What objects hold the same amount of liquid as a 96 fluid oz jug

Zanzabum

1 quart = 32 fluid ounces
so 96÷32=3

3 0

4 years ago

Read 2 more answers

electric switches that regularly sell for $0.69 each are advertised this week at 5 for $2.75 . how much is saved by purchasing 5

grandymaker [24]

Answer:

So we will be saving a total of $0.7 at new rate

Step-by-step explanation:

Given:

Original price =$ 0.69

New price = $ 2.75 per 5 switches

To find:

Saving = ?

Solution:

The original per price of the switch is given as = $ 0.69

Discounted price of 5 switches at $2.75

5 Switch price at original price = Original price * No of switches

= 0.69 * 5

= $ 3.45

Total saving at buying 5 switches = 3.45 - 2.75

=$0.7

So we will be saving a total of $0.7 at new rate

3 0

3 years ago