1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natima [27]
3 years ago
12

The answer to this equation​

Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

x=3

Step-by-step explanation:

We are given the equation

log5x=log(2x+9)

This can be rewritten as

log5x-log(2x+9)=0

Now using the quotient rule for logarithms we can combine these two

log(\frac{5x}{2x+9} )=0

Next we can remove the log by using an inverse operation

10^{log(\frac{5x}{2x+9} )} =10^0\\\\\frac{5x}{2x+9}=1

Now we can solve for x

\frac{5x}{2x+9}=1\\\\5x=2x+9\\\\3x=9\\\\x=3

You might be interested in
A sequence can be generated by using an=4a(n-1)
WITCHER [35]
This problem is half understanding the question and half just plugging in numbers.

Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.

Now try plugging any number n into the a_n = 4a_{n-1} equation. Let's use 2 to make it simple. If you plug in 2, you get:
a_2 = 4a_{2-1}\\
a_2 = 4a_1
Remember that the subscripts (the small numbers in the corner) are simply the term number. a_1 is term 1, a_2 is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, a_1 = 6. That makes the next four terms:

Term 2
a_2 = 4a_{2-1}\\
 a_2 = 4a_1\\
 a_2 = 4(6)\\
 a_2 = 24

Term 3
a_3 = 4a_{3-1}\\ a_3 = 4a_2\\ a_3 = 4(24)\\ a_3 = 96

Term 4
a_4 = 4a_{4-1}\\ a_4 = 4a_3\\ a_4 = 4(96)\\ a_4 = 384

Your first 4 terms are 4, 24, 96, and 384.

--------

Answer: A) F

6 0
4 years ago
A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32
vovangra [49]

The number of days for both Companies to have the same total amount is

6.4 days

<h3>Word Problem leading to Algebraic expression</h3>

 

Given Data

  • Let the total payment be y
  • Let the number of days be x

Company A

  • Charges per day = $57
  • Flat fee = $32

y = 57x+ 32 -----------------1

Company B

  • Charges per day = $62
  • Flat fee = $0

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

Learn more about word problem here:

brainly.com/question/13818690

5 0
3 years ago
The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 128 feet, what is the length of the
Serga [27]

Answer: B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Logan wants to move to the city
Usimov [2.4K]

Answer:good for him

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need help and please explain to me how you got the answer
maksim [4K]

Answer:

B

Explanation:

7 0
2 years ago
Other questions:
  • Why is 1/8 cup equal to 1 fluid ounce
    11·1 answer
  • What does it mean if f(2)=1 when f(x) is a polynomial?
    11·1 answer
  • Sergio thinks he will need 90 cups of fruit juice to make 210 cups of punch. Explain his method. How many cups of fruit juice wo
    5·1 answer
  • Is -2 natural number?
    10·2 answers
  • Please answer this correctly
    10·1 answer
  • What is the radius of a circle with a diameter of 100
    8·2 answers
  • Which pair of points graphed below have values that are opposites
    8·2 answers
  • Help me pleaseeee I would be happy
    10·1 answer
  • O<br> 100%<br> What is a decimal that is equivalent to the fraction 12<br> ?
    15·1 answer
  • I'll mark as brainliest! <br> Please help!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!