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umka2103 [35]
3 years ago
6

Information reference tables what is the solution set of the equation log4 (x2 + 3x) − log4 (x + 5) = 1?

Mathematics
1 answer:
faust18 [17]3 years ago
5 0
Use this property of logarithms:

\log_b\left(\dfrac{x}{y}\right)=\log_b x-\log_b y

Your equation transforms into:

log_4\left(\dfrac{x^2+3x}{x+5}\right)=1

Now, you have to apply the definition of a logarithm to express the equation in exponential form:

\dfrac{x^2+3x}{x+5} = 4^1

In case you don't remember, this is the definition of a logarithm:

\log_b x = y \iff b^y = x

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).

Finally, solve the rational equation:

\dfrac{x^2+3x}{x+5} =4 \iff x^2+3x=4(x+5)
\iff x^2-x-20=0
\iff x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot(-20)}}{2}= \left \{ {{5} \atop {-4}} \right.

The correct answer is d.
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Solve the whole problem i give brainliest please help me.
gladu [14]

Answer:

165 is greater than or equal to 17.75x+5.25; 9 is greater than or equal to x

Step-by-step explanation:

The problem states that they have no more than $165. This means that they either use all the money, or they have leftover money, which means you need to use the 'greater than or equal to' sign. It says that tickets are $17.75 a person, and we're trying to find the number of people (x). You can write this as 17.75x. There is also a parking fee to add on to the equation, which is represented as +5.25. Now, we can solve!

I'm going to use an equal sign to replace the inequality symbol, but make sure to add the symbol at the end of the problem.

165=17.75x+5.25

159.75=17.75x

9=x

Our final answer is 9 is greater than or equal to x. Hope this helps!

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3 years ago
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How to finsd the set of numbers if the mean, median and mode is given
Bad White [126]

Answer:

a) we have the numbers 0, 2, 3, 5, 5. The mean and the median are both 3

b) we have the numbers 0, 0, 3, 5, 7. The mean and the median are both 3

In both cases the mean and the median are 3, but the mode differs. The mean and the median do not uniquely determine the mode.

Step-by-step explanation:

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I need help on 78 and 79
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There are 15 pencils altogether. Of these, 4 are green. Thus, P(green) = 4/15.


3+6

There are 3 red and 6 blue pencils. Thus, P(red or blue) = --------- = 3/5

15

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Step-by-step explanation:

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Select the correct answer from each drop-down menu. one person working alone will take 30 days to paint an apartment. if d repre
Oksanka [162]

It took 3 days to complete a work by 10 people.

         

<h3>What is Efficiency?</h3>

The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.

Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.

The number of days to complete the work = n days

Number of person to complete the work = p.

Now, according to question

Number of days to complete the work by 10 people = 30 / 10

                                                                                      = 3 days.

Thus, it took 3 days to complete a work by 10 people.

                                                                                       

Learn more about Efficiency from:

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