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
Lerok [7]
3 years ago
8

Solve 2^x=3. round to the nearest ten thousandth

Mathematics
2 answers:
nikitadnepr [17]3 years ago
8 0
2^{x}  = 3
log_{2}3 = x
\frac{log_3}{log_2} = x
x = 1.585
Soloha48 [4]3 years ago
5 0

Answer:

The solution of the expression is x=1.584.          

Step-by-step explanation:

Given : Expression 2^x=3

To find : Solve the expression round to the nearest ten thousandth?

Solution :  

Step 1 - Write the expression,

2^x=3

Step 2 - Taking log both side,

\log (2^x)=\log (3)

Step 3 - Apply logarithmic property, \log a^x=x\log a

x\log (2)=\log (3)

Step 4 - Solve,

x=\frac{\log (3)}{\log (2)}

x=\frac{0.477}{0.301}

x=1.584

Therefore, The solution of the expression is x=1.584.

You might be interested in
what is the slope of the line given by the equation y=-1/3x? Enter your answer as an integer or fraction in lowest terms.
Rzqust [24]
The slope of the line would be -1/3

5 0
3 years ago
Read 2 more answers
The Cheer Club is making a banner for your school using the design shown. The area of the yellow portion is 1 ft2. The expressio
olga nikolaevna [1]

Answer:

Blue = \frac{8}{9}

Step-by-step explanation:

Given

Yellow = 1ft^2

Blue = 8z^{-1

Required

Evaluate Blue when z = 9

To do this, we simply substitute 9 for z in Blue = 8z^{-1

Blue = 8 * 9^{-1

Convert indices to fraction

Blue = 8 * \frac{1}{9}

Blue = \frac{8}{9}

<em>Hence, the blue section has an area of </em>\frac{8}{9}ft^2<em></em>

3 0
3 years ago
it takes josh 40 minutes yo walk the dog it takes mike 80% as long to walk the dog how long does it take mike to walk dog
Katarina [22]

Answer:

32 minutes

Step-by-step explanation:

80% = .80

40 * .80 = 32

7 0
2 years ago
Read 2 more answers
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325
Iteru [2.4K]

Answer:

Step-by-step explanation:

The three in the first number is in the thousands place and in the second number the three is in the hundreds place.

4 0
3 years ago
Read 2 more answers
List at least two factors that improve human quality
Naily [24]
Education
experience
Become a versatile subject matter expert
Explore beyond your industry
Get involved
Improve your public speaking and presenting skills
Cultivate your human network
Publish your thoughts
Stay health
Start early
5 0
3 years ago
Other questions:
  • How to solve 2^2-5t+12=0
    8·2 answers
  • The midpoint between points (-3, 10) and (5,0) is (x, 5). What is x?
    12·1 answer
  • How to make a math question out of 14-7
    13·1 answer
  • Refer to the previous question.
    9·1 answer
  • Differentiate Functions of Other Bases In Exercise, find the derivative of the function.
    13·1 answer
  • 8 divided 4,000 <br> 8 divided 4,000
    6·2 answers
  • Long division, x^3-2x^2+1 divided x^2-x+1
    7·1 answer
  • (16/81) raised to the -3/4
    9·1 answer
  • Help I don’t understand
    13·1 answer
  • THIS IS LIFE OR DEATH I NEED TO KNOW
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!