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
MrRa [10]
3 years ago
5

15. Explain why we need to specify 0 < b < 1 and b > 1 as valid values for the base b in the expression logb(xx).

Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:

logb(a) = x ⇒ a = bˣ

So, for b = 0 ⇒ 0ˣ = a

And there is impossible, "a" only could be 0.

For b = 1 ⇒ 1ˣ = a

And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.

For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.

So, 0<b<1 and b >1.

You might be interested in
How do I write the commutative property of 34+0+18+26?
Norma-Jean [14]

Answer:

34+0+18+26 = 34+0+18+26

4 0
4 years ago
What is the total price of a book if barnes and nobles gets it for 4.25 and the markup is 30%
irina [24]
5.50, I think I’m right I just added 30 percent of 4.25 to 4.25
6 0
3 years ago
Write 2603094 using exponents?
Artemon [7]
2*10^6 + 6*10^5 + 3*10^3 +9*10^1 +4*10^0

see expanded form is adding the digits together. and it would be what ever one number is times 10 to the power of how many digits are after that number. you skip the 0's though. hope this helps
7 0
3 years ago
Read 2 more answers
If the distance from Haley’s house to school is 2.5 cm on the map and the actual distance is 3 miles. What is the scale for the
Brrunno [24]
To find your answer you divide 3 by 2.5 to get 1.2. The scale for the map is 1.2.

Hope this helps,
<em>♥Nikki♥</em>
(P.S. I'm not completely sure about this so you might want to get a second opinion on this particular question.)
7 0
3 years ago
A Dodecahedron (12 sided die) is thrown, what is the P( odd OR a number greater than 6)?
djverab [1.8K]

Answer:

6 numbers greater than 6, plus 1,3 and 5- so nine total.

9/12, simplified 3/4

3 0
3 years ago
Other questions:
  • Sally and Ann share £30 in the ratio 3:2. Sally keeps the biggest share. How much does she get.
    8·1 answer
  • Do these numbers make a right triangle... square root of 63 then 9 then 12?
    12·1 answer
  • Is 1.1717717771 a rational number
    9·2 answers
  • A firefighter sees a woman trapped in a building 15 feet up from the bottom floor. The firetruck is parked 35 feet away from the
    9·2 answers
  • – 9 fewer than x is 92
    11·1 answer
  • At the end of a card game, James scored −16 points, and Alexis scored −10 points.Write an inequality to compare the points James
    11·1 answer
  • All even numbers greater than 2 are composite
    11·1 answer
  • Factor<br>8x^2 - 30x + 25​ <br>Please help me
    8·1 answer
  • 3y - 5 (2x + 3) - 12
    5·2 answers
  • Someone do these please!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!