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
tigry1 [53]
3 years ago
8

How can I make this exercise?? Please Help

Mathematics
1 answer:
Maru [420]3 years ago
8 0

x = 3 or x = 1

note that log 5 is usually taken to mean log_{10} 5

using the law of logarithms

logx - logy = log (\frac{x}{y})

the right hand side can be expressed as

log 10000 - log 16 = log (\frac{10000}{16}) = log 625

divide both sides by log 5

x² - 4x + 7 = \frac{log625}{log5} = 4

subtract 4 from both sides

x² - 4x + 3 = 0 ← in standard form

(x - 3 )(x - 1) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 1 = 0 ⇒ x = 1


You might be interested in
When finding the product (x – 3)(x + 4), what would you add to get the final answer?
kotykmax [81]
When multiplying out you get:

x2+4x-3x-12....

so you'd be adding the +4x to the -3x

x2 + x - 12
6 0
3 years ago
Is the relationship a linear function?(0,-1), (1,5),(2,11),(3,17)
cricket20 [7]

Answer: Yes

Step-by-step explanation: x goes up by 1 each time and y goes up by 5 each time, making the function linear.

5 0
3 years ago
What is 2.368 rounded <br> to the nearest hundredth.
sveticcg [70]

Answer: 2.37

Step-by-step explanation:

8 0
3 years ago
The angle measurements in the diagram are represented by the following expressions.
BigorU [14]
5x-12=2x+24
-2x -2x
3x-12=24
+12 +12
3x=36
/3 /3
x=12
6 0
3 years ago
Your class sells a box of oranges to raise $500 for a field trip.You earn $6.25 for each box of oranges sold.Write and solve an
emmainna [20.7K]
To do this, find the slope, y-intercept, and your goal. 

Your goal is 500. 
Your slope is 6.25 per orange. 
Your y-intercept is 0 (you don't start out with anything.)

So, the inequality is 500 \leq 6.25x.
8 0
3 years ago
Read 2 more answers
Other questions:
  • You are paid $8.35/hr at your part time job. your deductions are FICA (7.65%), Federal tax withholding (9.15%), &amp; state tax
    7·1 answer
  • A track is 200 meters long. How many times must Julius run around the track to run 3 kilometers ?
    11·1 answer
  • What expression is the factored form of 2/3x+4
    10·2 answers
  • Marco wants to save his money to buy a new computer for school. He has $300 in his bank account. Marco has a part-time job that
    7·1 answer
  • PLEASE PLEASE PLEASE HELP ME PLEASE!!
    7·1 answer
  • 5 – 4|1 + 2x| = -3<br> Solve for x in simplest form
    8·1 answer
  • One tennis club charges $22 per session to play tennis. Another tennis club charges an annual fee of $40 plus $16 per session. A
    12·1 answer
  • What is the cost of a shirt? What is the cost of a soda?
    6·1 answer
  • A new site offers a subscription that costs 28.50 for 6 months.what is unit rate price per month? show ur work
    9·1 answer
  • Use synthetic division to determine the remainder when 3x 3 − 2x 2 + x − 1 is divided by x − 1.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!