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
taurus [48]
3 years ago
6

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 solutio

n for x in your answer. Round your answer to the nearest thousandth.
Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

<h3>x = 2log₂(3) - 1</h3>

Step-by-step explanation:

2ˣ⁺¹ = 9

x+1 = log₂(9)

x+1 = log₂(3²)

Transfer the power value inside the bracket and put it before the log.

x+1 = 2log₂(3)

<h3>x = 2log₂(3) - 1 </h3>

#StayPositive - kexcvi

You might be interested in
A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2
bonufazy [111]

Answer:

14400 cubic inches.

Step-by-step explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

V=l\times b\times h

If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.

V_1=kl\times kb\times kh

V_1=k^3(l\times b\times h)

V_1=k^3V       ...(i)

It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.

Substitute k=2 and V=1800 in equation (i).

V_1=2^3(1800)

V_1=14400

Therefore, the volume of required sink is 14400 cubic inches.

7 0
3 years ago
Water flows down the Mississippi River at about 1.2 miles per hour
Angelina_Jolie [31]

Answer:

Continuous

Step-by-step explanation:

The rate of flow of water down the river is referred to as its speed. Thus the speed changes with respect to the distance covered. Which implies that there is a direct relationship between the distance covered (in miles) by the water flow and time taken (in hours).

The relationship between hours and miles the water traveled is continuous.

6 0
3 years ago
The two figures below are congruent. Find the measure of the angle that isn't labeled on either figure.
Katen [24]
Step 1: Since this figure has 4 sides, the total degree will be 360 degrees.

Step 2: Create Equation: 41+86+133+x= 360

Step 3: Solve it: you will get the final answer of x=100
6 0
4 years ago
Read 2 more answers
Simplify the following expression:
Bas_tet [7]

Answer:

3x-8y+40z

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the answer for this y=__x+__
choli [55]
The answer is y=mx+b
4 0
3 years ago
Other questions:
  • Solve for x*<br> (17x - 8)
    5·1 answer
  • 35•7 to the 3rd power
    11·1 answer
  • Please help!!!!<br> I desperately need the correct answer I’ve been trying all day!
    15·2 answers
  • Vince has a rectangle rug in his room with an area of 10 feet. The length of the rug is 18in longer than the width. What are the
    15·2 answers
  • Determine if each statement is always, sometimes, or never true.
    10·1 answer
  • I cant figure this out.
    6·1 answer
  • Ten more than three times a number n is forty. How do you write this as an equation, plz i need help.
    15·1 answer
  • An accountant earns 6% simple interest. You want to find the interest earned on $200 after 8 months.
    12·1 answer
  • A zoo charges $8 for adults and $6 for children, the zoo sold 200 tickets and collected $1,340 how many of each type of ticket w
    9·1 answer
  • What is the equation of the line that passes through the point (-3,-8) and has a slope of 4?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!