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3 years ago

What is log(21/x2) written in expanded form?

Mathematics

2 answers:

jonny [76]3 years ago

8 0

Answer:

$log(21)-2log(x)$

Step-by-step explanation:

The given logarithmic expression is $log(\frac{21}{x^2} )$ .

Observe that the expression in the argument is a quotient.

We apply the quotient property. This property is given as follows:

$log(\frac{A}{B})=log(A)-log(B)$ .

When we apply this property, we obtain,

$log(\frac{21}{x^2})=log(21)-log(x^2)$ .

Recall that $log_a(m^n)=n\:log_a(m)$ .

We now apply this property to obtain,

$log(\frac{21}{x^2})=log(21)-2log(x)$ .

Therefore the correct answer is A

Elan Coil [88]3 years ago

3 0

2log10(2vx2) is the answer

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Rectangle ABCD has vertices A(1, 2) , B(4, 2) , C(1, −2) , and D(4, −2) . A dilation with a scale factor of 6 and centered at th

iogann1982 [59]

B because its ratio matches the (4,2)

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3 years ago

Read 2 more answers

Lisle bought 38 pounds of red grapes and 512 pound of green grapes how many pounds of Grapes did he buy

Svet_ta [14]

Answer:

19/24

Step-by-step explanation:

From the question we are informed that Lisle bought 3/8 pounds of red grapes and 5/12 pound of green grapes

✓3/8 pounds of red grapes and 5//12

✓First thing to do is to add the fractions

But we need " the least common denominator" because their denominator are not the same, we need to make it the same...

✓ The two denominator ( 8 and 12) are both factor of 24, therefore their "least common denominator" is 24.

✓To make 3/8 pounds of red grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 3.

3/8 = (3×3)/(8×3)=9/24

✓To make 5/12 pounds of green grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 2.

5/12= (5×2)/(12×2)= 10/24

✓ we can see they both have the same denominator, then we can now "add both denominators"

(9+10)=19

✓ Then place the addition of the denominators on the least common denominator.

= 19/24.

Therefore, he bought 19/24 of grapes

5 0

3 years ago

John and Tyrone each go for a morning jog before work. John's jogging pace

hram777 [196]

Answer:

Tyrone's rate is 1 more mile per hour than John's

Step-by-step explanation:

Given

$y = 5x$ --- John number of jog

See attachment of Tyrone's number of jog

Required

Select the true option

From the attached graph, we have:

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,12)$

Calculate the slope (m); i.e. unit rate

$m = \frac{y_2 - y_1}{x_2 -x_1}$

$m = \frac{12 - 0}{2 -0}$

$m = \frac{12}{2}$

$m = 6$

For John, we have:

$y = 5x$

A linear equation is represented as:

$y = mx+ c$

Where m represents the unit rate. So, by comparison;

$m = 5$

$m = 5$ --- John unit rate

$m = 6$ --- Tyrone unit rate

<em>Option B is correct because Tyrone's rate is 1 more mile per hour than John's</em>

<em>i.e. 6 - 5 = 1</em>

5 0

3 years ago

Exponential form of logx=3

muminat

Answer:

$10^3 = x$

Step-by-step explanation:

$\log_b x = y \Leftrightarrow b^y = x$

A logarithm is an exponent. For example, the log base 10 of 100 is the exponent you need to raise the base, 10, to get 100. It happens to be 2, so

$\log_{10} 100 = 2$ can be written as $10^2 = 100$

When you change log form to exponential form, keep these things in mind: The base of the log is also the base of the exponential form. The number that equals the log is the exponent. The number you take the log of is equal to the base raised to the exponent.

Now let's look at your problem.

$\log x = 3$

Since no base is shown, the base is 10.

$\log_{10} x = 3$

The base is 10. The exponent is 3. The base raised to the exponent equals x.

$\log_{10} x = 3 \Leftrightarrow 10^3 = x$

6 0

3 years ago

Describe the difference between the value of x in a binomial distribution and in a geometric distribution.

IceJOKER [234]

Answer:

A. In a binomial distribution, the value ofx represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

The most important difference is that in the binomial distribution, the value of x represents the successes in n trials.

And by the other hand in the geometric distribution, x represents the number of failures before you get a success in a series of Bernoulli trials.

So then the best answer for this case is:

A. In a binomial distribution, the value of x represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.

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2 years ago