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
8_murik_8 [283]
2 years ago
6

What is the solution to log2(2x^3-8)-2log2x=log2x?

Mathematics
1 answer:
Alexxandr [17]2 years ago
5 0

Answer:

<h2>x = 2</h2>

Step-by-step explanation:

\\\\\text{Domain:}\\\\2x^3-8>0\ \wedge\ x>0\\2x^2>8\to  x^3>4\to x>\sqrt[3]4\\\\x\in(\sqrt[3]{4},\ \infty)\\\\\log_2(2x^3-8)-2\log_2x=\log_2x\qquad\text{add}\ 2\log_2x\ \text{to both sides}\\\\\log_2(2x^3-8)=3\log_2x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_2(2x^3-8)=\log_2x^3\iff2x^3-8=x^3\qquad\text{subtract}\ 2x^3\ \text{from both sides}\\\\-8=-x^3\qquad\text{change the signs}\\\\8=x^3\to x=\sqrt[3]8\\\\x=2\in D

You might be interested in
A turtle crawled at a speed of 1.2 meters per minute for 9 minutes. How far did the turtle crawl? 7.5 meters 7.8 meters 10.2 met
Dennis_Churaev [7]

Answer:

10.8 meters

Step-by-step explanation:

3 0
3 years ago
F Andre sold 16 magazine subscriptions this week, would he reach his goal? Explain your reasoning.
Misha Larkins [42]

Answer:

What are some other numbers of magazine subscriptions Andre could have sold and still reached his goal?

Write an inequality expressing that Andre wants to make at least $68.

Write an inequality to describe the number of subscriptions Andre must sell to reach his goal.

8 0
2 years ago
One of the tables shows a proportional relationship.
IRINA_888 [86]
The 2nd option is the answer :)!
4 0
3 years ago
Read 2 more answers
Round 2769.44 to the nearest tenths place
vlada-n [284]
It would be 2769.44 still since it would technically be 2769.440 if you were rounding to the TENTHS place. The Zero(0) doesn't change anything so the answer is

2769.44
4 0
3 years ago
A parallelogram has a base length of 9.3 inches and an area of 56.73 squared inches. Find the height of the parallelogram.
Studentka2010 [4]

Answer:

the answer is 6.1

Step-by-step explanation:

h= A over B (means you divide) and you get 6.1

7 0
2 years ago
Read 2 more answers
Other questions:
  • Ellen, a political intern, analyzes poll data for Cal Stegall, a candidate for state legislature. She notices Stegall's populari
    14·2 answers
  • Neil started a stamp collection with 12 stamps. Every week , he adds 4 more stamps to the collection. Which function? F represen
    7·1 answer
  • Passes through (12,3) and (9,5)
    7·2 answers
  • 189/29 as a mixed number
    15·2 answers
  • How did the Punic Wars change the population of the cities of Rome?
    11·1 answer
  • Eric Schneider's bank statement shows a previous balance of $974.95. He made deposits of $246.00 and
    8·1 answer
  • I am bad at algebra2 I need help solving this please
    14·1 answer
  • Kathy bought 2 4/9 pounds of cheese. She used 1 1/3 pounds of the cheese to make lunch for her family. How many pounds of cheese
    6·1 answer
  • Yal.................................................................
    6·1 answer
  • If I could get help………
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!