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
Agata [3.3K]
3 years ago
11

For what values of x does 25 Superscript x Baseline = 5 Superscript x squared minus 3?

Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

For this case we have the following equation:

25^{x} = 5^{ x^2-3}

Rewriting we have:

5^{2 (x)} = 5^{ x^ 2-3}\\5^{ 2x} = 5^{ x^ 2-3}

For expressions to be equal, exponents must be equal. So:

2x = x ^ 2-3\\x ^ 2-2x-3 = 0

To factor, we look for two numbers that, when multiplied, result in -3 and when added, result in -2. These numbers are -3 and 1.

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

Thus, the roots are:

x_ {1} = 3\\x_ {2} = - 1

Answer:

x_ {1} = 3\\x_ {2} = - 1

You might be interested in
The sum of the square of the number and a second number is 42
AveGali [126]

Step-by-step explanation:

x+x squared =42. The square of the number is the number square. By my incredibly accurate guess and check strategy (works most of the time )6*6 = 36+6=42

3 0
3 years ago
The ordered pairs (1,3), (2,9), (3,27), (4,81), and (5,243) represent a function. What is a rule that represents this function?
weqwewe [10]
The rule is 3^x.

Check: 3^1 = 3; 3^2 = 9; 3^3 = 27 and 3^4 = 81
8 0
3 years ago
Find the solution of y = 2x + 5 for x = 1.
Mumz [18]

Answer:

1.)

y = 2x + 5 for x = 1

y = 2(1) + 5

y = 2 + 5

y = 7

2.) The function rule that relates the total cost of the party to the number of children n.

TCP = $60 + $4(n)

6 0
3 years ago
Priya ran 1 ½ miles today, and Tyler ran 3 ¾ miles today. How many times the length of Tyler's run was Priya's run?
krek1111 [17]
Answer:
2.5
Step-by-step explanation:
6 0
2 years ago
What is the mean of 18 16 -14 -15 8 18 7 11 -13
exis [7]

here ur answer its 6

can i have da crown

have a goed day

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do I solve for d if d/M-3=R
    9·1 answer
  • Jill makes purses and backpacks. To make each purse,she uses 1foot less than half the amount of fabric she uses to make a backpa
    7·1 answer
  • X^2 -9 = -15 i got decimals please help me
    15·2 answers
  • What is a reasonable distance between two cities?
    15·1 answer
  • HELP PLEASEEEE!!!!!!
    12·1 answer
  • What is the solution to this number sentence?<br> y-1 3/4=3
    9·1 answer
  • Write an expression to represent the sum of three times the square of a number and -7 . In your expression what is the value of
    15·1 answer
  • Please answer with clear instructions so that i can apply this to other questions.
    12·1 answer
  • Claudius took out an unsubsidized stafford loan at the beginning of his six-year college career. the loan had a principal of $4,
    11·2 answers
  • Geometry questions....help me someone please
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!