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
Inessa [10]
3 years ago
12

Solve each of the following equations for x. 2^x − 1 = 0

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

The solution to the equation is x = 0

Step-by-step explanation:

Hi there!

First, let´s write the equation:

2ˣ - 1 = 0

To solve it for x, let´s add 1 to both sides of the equation:

2ˣ = 1

Apply log to both sides of the equation

log(2ˣ) = log(1)

Apply logrithm property: log(2ˣ) = x log(2)

x log(2) = log(1)

x log(2) = 0

x = 0

The solution is x = 0

Let´s check the solution:

2ˣ - 1 = 0

x = 0

2⁰ - 1 = 0

1 - 1  = 0

0 = 0

The solution is correct!

Have a nice day!

You might be interested in
PLZ PLZ PLZ PLZ HELP HELP HELP HELPFind the area of the shape.
Bingel [31]

Answer:

3.14

Step-by-step explanation:

The formula for the area of a circle is \pi r^2, where r is the radius. In this circle, the area would therefore be 3.14\cdot 2^2=12.56. However, since this is only a quarter circle, you need to divide the area by 4, meaning that the area of this shape is 3.14 square units. Hope this helps!

5 0
3 years ago
Read 2 more answers
(Please help. I screenshot the question and choices D: )
vodka [1.7K]
The answer is yes, 1:8
8 0
4 years ago
Read 2 more answers
Last year, the average American used 167 disposable water bottles (16.9 oz or 0.132 gallons). If the cost of 1 gallon of tap wat
Mrrafil [7]

Answer:

The money that could be saved by drinking tap water is $165.46.

Step-by-step explanation:

Given:

Cost of 1 bottle of water = $1.00

Number of bottles consumed = 167

Volume of water used in 1 bottle = 0.132 gallons

So, volume of water used in 167 bottles = 167 × 0.132 = 22.04 gallons

Cost of 1 gallon of tap water = 7 cents = $0.07

In order to determine the money saved using tap water, we first find the cost of 167 bottles.

Using unitary method,

1 bottle cost = $1.00

167 bottles cost = Number of bottles × Cost of 1 bottle

                          = 167 × $1.00 = $167.00

Now, 167 dollars is spent for consuming 22.04 gallons of water.

Now, cost of 1 gallon of tap water = $0.07

So, cost of 22.04 gallons of tap water = 22.04 × 0.07 = $1.54

Therefore, the money saved by drinking tap water is given as:

Money saved = Money spent in bottles for 22.04 gallons - Money spent in tap water for the same volume

Money saved = $167.00 - $1.54 = $165.46

Hence, the money that could be saved by drinking tap water is $165.46.

8 0
3 years ago
How do i expand 4(3x 5)?
Sloan [31]
4(3x 5) multiply everything by 4 12x+20
3 0
3 years ago
A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?
icang [17]

Answer:

109

Step-by-step explanation:

Hope this helped :)

6 0
3 years ago
Read 2 more answers
Other questions:
  • King kyle orders the construction of his future mausoleum ( a fancy tomb) so that people never forget his awesomeness. His archi
    15·1 answer
  • Factor the expression.<br> x2 + 8x+ 16<br> x² + 3x+ 16 =
    8·1 answer
  • Apollo 8 orbited the moon in a circular orbit. Its average altitude was 185 km above the moon's surface. Create an equation to m
    7·2 answers
  • Which of the following are prime factorizations of the number 34? Check all that apply.
    7·1 answer
  • HELP PLEASE<br> To the nearest whole degree, what angle measure has a sine of 0.3535????
    7·1 answer
  • Imagine you conducted a study to look at the association between whether an expectant mother eats breakfast (or not) and the gen
    12·1 answer
  • 0.18=..........- -18+-1.8​
    13·1 answer
  • Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.
    9·1 answer
  • During an experiment, a spinner landed on green 9 times, which resulted in an experimental probability of StartFraction 1 over 6
    15·3 answers
  • Its timed help me please
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!