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
V125BC [204]
3 years ago
12

Explain how to solve 2^x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution

for x in your answer. Round your answer to the nearest thousandth.
Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Answer:

x=2.170

Step-by-step explanation:

The given equation is 2^{x+1}=9.

We take logarithm of both sides to base 2 to get:

\log_2(2^{x+1})=\log_29

Apply the power rule of logarithms to get:

x+1=\log_29

We now apply the change of base formula:

x+1=\frac{\log_{10}9}{\log_{10}2}

x+1=\frac{0.9542}{0.3010}

x+1=3.1701

x=3.1701-1

x=2.1701

To the nearest thousandth, x=2.170

You might be interested in
PLEASE HELP<br><br> 10 POINTS!
valentina_108 [34]
Answer: Point C :&382&:$
6 0
3 years ago
Read 2 more answers
A factory produced 8,500 soccer balls last
Marysya12 [62]

Answer:

c

Step-by-step explanation:

8500 x .09 = 765

8500 + 765 = 9265

6 0
3 years ago
The table shows number of miles Katie walked for two weeks. Compare the distances using the less than symbol.
Nina [5.8K]
the answer is 5.691 < 5.78
5 0
3 years ago
Which relation defined by a mapping diagram is not a function?
Schach [20]
If one element in the domain mapped with more then one element in the range, the mapping is called one-to-many relation. One-to-many relations are not functions. Example: Draw a mapping diagram for the function f(x)=2x2+3 in the set of real numbers.
3 0
3 years ago
Does anyone have the answers to Geometry B Unit 6: Surface Area and Volume, Lesson 10: Surface Area and Volume Unit Test? please
Mama L [17]

Hello everyone

Are you guys talking about the Lesson 10: Surface Area and Volume Unit Test unit 6: Surface Area and Volume test, i have the answers right here for all of you:

1) 17

2)Hexagon

3)95cm^2; 275cm^2

4)795m^2; 822m^2

5)2,205 in^2

6)770m^2

7)43.1cm

8)LA= 829.4ft^2; SA 1,209.5ft^2

9)593.9cm^3

10)43.35pim^3

11)2.1 in

12)528

13)850cm^3

14)115cm^2

15)3,054cm^3

16)2,158m^2

17)Yes 1:8

18)144m^2

19)4,712m^2

20)1,944cm^3

If you guys need help with anything else please feel free to ask !!!!, trust me those answer are all correct, if you have the same test as me, and same answers, like i put, those answers  will help you !.

                                                                                    ~By Naba~

8 0
3 years ago
Other questions:
  • What is the area of the object Below?
    15·2 answers
  • manny has 48 feet of wood. he wants to use all of it to create a border around a garden. the equation 2l+2w=48 can be used to fi
    7·1 answer
  • Find the inverse of matrix [3-1-10 9]
    8·1 answer
  • Lila collected the honey from 3 of her beehives. From the first hive, she collected 2/3 gallons of honey. The last two hives yie
    11·2 answers
  • What is the measure of angle x?
    14·1 answer
  • Use the Law of Sines to solve for x. Round to the nearest whole number.
    14·1 answer
  • Helpppppp its a test
    14·1 answer
  • 3x= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1}{2}" align="absmi
    9·1 answer
  • Explain how you can use multiplication to show that 2/4 and 4/8 are equivalent
    10·2 answers
  • Question 1
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!