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
arsen [322]
3 years ago
9

For what values of x does 25^x = 5^(x2-3?)

Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

<em>x = 3 or x = -1</em>

Step-by-step explanation:

     25^x = 5^(x^2 - 3)

<=> (5^2)^x = 5^(x^2 - 3)

<=> 5^(2x) = 5^(x^2 - 3)

<=> 2x = x^2 - 3

<=> x^2 - 2x - 3 = 0

<=> x^2 + x - 3x - 3 = 0

<=> x(x + 1) - 3(x + 1) = 0

<=> (x - 3)(x + 1) = 0

<=> x = 3 or x = -1

I hope this helps!

You might be interested in
The value of a ratio
katrin2010 [14]

Answer:

Students understand the value of a ratio A: B is A/B. ... If two ratios are equivalent, they have the same value. Grade 6, Module 1, Lesson 8: Classwork. Recall that when given a ratio A: B, where B ≠ 0, we call the quotient, A/B, the value of the ratio.

Step-by-step explanation:

For example, the most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

5 0
3 years ago
Prove that ✓-36 does not exist in the Real<br> Numbers
eimsori [14]

Answer:

undefined

Step-by-step explanation:

Becouse any number under a root sign that is negative does not give any answer.Therefore it doesn't exist in real number system.

7 0
3 years ago
Find the next two numbers in the following sequence. List the very next missing
noname [10]

Answer:

256,781

Step-by-step explanation:

3 0
3 years ago
What's 14/63 in simplest form
serious [3.7K]
You would cancel the common factors in the numerator and denominator. 

Exact Form: 
2/9 

Decimal Form: 
0.222222222.....
8 0
3 years ago
Can yall help me with this ?
Maslowich
1) 0,4
2) 0,3/5
3) -6,6
4) -9/4, 9/4
5) -6+3√7, -6-3√7
6) 11,7
7) 6,-5
8) 5, -12
9) 10
10) -1/5,-2
11) -5/4, 3/2
12) -1/4, 8/3
13) -5, -6
14) -9, 1
15) 3,2
16) 8
17) 6,-4
18) 0,4
19) 7,5 (factored) 6,-1 (vertex)

The vertex form let’s you find the vertex. The factored form gives you the roots.

If I missed anything please tell me
4 0
3 years ago
Other questions:
  • How do I solve this 8(c-9)=6(2c-12)-4c
    14·1 answer
  • Sam purchased a new car for $17,930. The value of the car depreciated by 19% per year. When he trades the car in after x years,
    10·1 answer
  • Going down a slide is a real-life example of a rotation.<br><br> True<br><br> False
    11·2 answers
  • Last year mr.peterson had a fence all the way around his garden. he can reuse all of the fence he had around the garden last yea
    5·1 answer
  • Did he make an error?<br> 4x+6-x=2x+3<br> 1st step: 5x+6=2x+3
    6·2 answers
  • If you could help me with this one also !!!
    8·2 answers
  • Can someone quickly respond<br><br> which one would be the right answer?
    5·2 answers
  • What is the answer to the problem? 10 points :)
    14·1 answer
  • You pick a card at random.<br> 789<br> What is P(9)?
    11·1 answer
  • Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PI
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!