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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.

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Find m Someone pleaseee helpp
Alexus [3.1K]

Answer:

107°

Step-by-step explanation:

m∠m+m∠p= 180°

(7x+31)°(21x-19)°=180°

7x+31+21x-19= 180

7x+21x=180+19-31

28x=168

x= 168/28

x= 6

m∠p= (21x-19)°

= (21(16)-19)°=(126-19)°

= 107°

------------

hope it helps..

have a great day!!

8 0
3 years ago
How do I solve 7x-2=11x-12-2x+4
ANEK [815]
Answer: x=3

Explanation:
Step 1: Combine like terms 7x-2=9x-8
Step 2: Put all variables on one side and all numbers on the other 2x=6
Step 3: Divide x=3
8 0
3 years ago
What is the sum of 8 + (-7 + (-4)?
Nadya [2.5K]

Answer:it would be -3

Step-by-step explanation:

-4 + -7 equals -11 - 8

3 0
3 years ago
A survey of college students resulted in the following information:
AnnyKZ [126]

Answer:

Shoe survey:

1.) 34 people were surveyed

2.) 8 people own Adidas ONLY

Allergies:

3.) 14 people not allergic

4.) 9 people are allergic to milk

5.) 23 people are allergic to 1 thing or " less than 2 foods"

6.) They said "or" in the question but here's both answers: 14 to milk and 18 to banana

Love the Actors:

7.) 21 people like Will Smith

8.) 2 people who don't like either

Step-by-step explanation:

1.) It said 20 people own BOTH brands so subtract 20 from the Nike shoes & Adidas shoes, giving 4 people who only use Nike and 8 people who use Adidas, don't forget the 2 who have neither. Add 20+4+8+2=34

2.) As we found out (above) there are 8 people who use Adidas

3.) Keep in mind there are 50 people were surveyed, add all the numbers

( =36) then subtract 50 (the total) minus 36 giving you 14

4.) Add 6( only milk) + 3( banana &milk)= 9

The rest is to long and don't want to keep you wanting

I did the math thou... hope this helps :)

8 0
3 years ago
What is the absolute value of 17?​
never [62]
The absolute value of 17 is 17 because absolute values means the distance from zero
8 0
3 years ago
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