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kkurt [141]
3 years ago
6

Solve each equation. Round to four decimal places. e^x=8

Mathematics
2 answers:
Inessa [10]3 years ago
7 0

Answer:

x ≈ 2.0794

Step-by-step explanation:

\small \sf \: e {}^{x}  = 8

Take the natural logarithm of both side of equation

  • \small \sf \: In ( e  {}^{x} ) = In ( 8 )

\small \sf \:  Use \:  In(e {}^{x}  ) = x   \: to  \: simplify  \: the  \: expression.

  • x = In( <u>8</u> )

Write the number in exponential form.

  • x = In(2³)

Use In(aⁿ) = n × In ( a ) to transform the expression.

  • x = 3In( 2 ) ≈ 2.07944

Round to four decimal places = 2.0794

Semmy [17]3 years ago
5 0

Answer:

x ≈ 2.0794

Step-by-step explanation:

Given

e^{x} = 8 ( take ln of both sides )

ln e^{x} = ln 8

x lne = ln 8 [ lne = 1 ]

x = ln 8 ≈ 2.0794 ( to 4 dec. places )

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1.31 + 1 and 1/3 + 1.3 4
Anit [1.1K]

Answer: The answer to the first question is 2.31. The answer to the 2nd is 1.67.  


Step-by-step explanation: Look out for the numbers behind the decimals because they will help you know where to put the decimal point. 1/3=0.3333333333 (3 repeating). Hope this helps!


5 0
4 years ago
This is the number part when a number and a variable are multiplied together in a term.
Irina-Kira [14]
It is the coefficient :) 
3 0
3 years ago
Read 2 more answers
A-(buc)=(A-b)u(A-c)<br>​
kupik [55]

Step-by-step explanation:

I don't get the question a bit but I hope this makes sense

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5 0
3 years ago
Find the area of the circle.
S_A_V [24]

Answer:

The area of the circle is A = 12.56 m²

Step-by-step explanation:

* Lets explain how to solve the problem

- The area of any circle is A = π r² , where r is the radius of the circle

- In any circle the length of the radius is half the length of its diameter

* Lets solve the problem

- The diameter of the circle is 4 meters

∵ The radius of the circle = 1/2 diameter

∵ The diameter = 4 meters

∴ The radius = 1/2 × 4 = 2 meters

- The area of the circle is A = π r²

∵ The value of π = 3.14

∵ The length of r = 2 meters

- Substitute the value of r in the rule of the area

∵ A = π r²

∴ A = 3.14 × (2)²

∴ A = 3.14 × 4 = 12.56 meters²

* The area of the circle is A = 12.56 m²

6 0
3 years ago
A circular running track 1/4 is mile long. Elena runs on this track, completing each lap in 1/20 of an hour. Elena's running spe
Delicious77 [7]

<u><em>Answer:</em></u>

Elena's running speed is 5 miles/hour

<u><em>Explanation:</em></u>

The speed is defined as the covered distance per unit time

<u>In the problem, we have:</u>

The distance covered is the length (circumference) of the circular track which is given as \frac{1}{4} of a mile.

We are also given that she completes each lap (she completes \frac{1}{4} of a mile) in \frac{1}{20} of an hour

To get her speed, we will divide the distance covered by the time taken to cover this distance

<u>This is done as follows:</u>

speed = \frac{\frac{1}{4} }{\frac{1}{20} } = 5 miles/hour

<u>This means that:</u>

Elena can run 5 miles each hour

Hope this helps :)

5 0
4 years ago
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