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

Answers

Answer 1
Answer:

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=(\log (3))/(\log (2))

x=(0.477)/(0.301)

x=1.584

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

Answer 2
Answer: 2^(x) = 3
log_(2)3 = x
(log_3)/(log_2) = x
x = 1.585

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Write y=2x+3 using function notation

Which of the following is a function equivalent to f(x) = 5(1.9)^3x? f(x) = 34.29^x
f(x) = 5(6.86x)
f(x) = 5(6.86)^x
f(x) = 328.51^x

Answers

Answer:

f(x) = 5(6.86)^x

Step-by-step explanation:

The function f(x) can be simplified according the the laws of mathematics. The expression is 5 multiplied by the 1.9^3x. You cannnot multiply 5 with 1.9 because 1.9 has a power of 3x. The 5 can only be multiply by the 1.9 if the 5 had a power of x or if 1.9 has a power of just 3. Therefore:

f(x) = 5×(1.9×1,9×1.9)^x = 5×(6.86)^x

1.9^3 = 6.86, so assuming it's 1.9^3 and not 1.9^(3x) then the answer is
f(x) = 5(6.86x)
Your question isn't 100% clear though.

A quadratic equation is shown below:x2 − 14x + 41 = 0

Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers? (5 points)


A:Add 8 to both sides of the equation
B:Add 9 to both sides of the equation
C:Subtract 8 from both sides of the equation
D:Subtract 9 from both sides of the equation

Answers

Since the desired equation is a perfect square binomial, it is necessary to obtain a constant term (in the case of the given equation, 41) that is also a perfect square. To determine the perfect square needed, take the coefficient of the second term (14x) and divide it by two, then square it. It should yield "49". To obtain 49 as the constant term, we have to add 8 to both sides of the equation. Among the choices, the correct answer is A.

The first correct step to write the above equation in the form id to subtract 49 from both sides of the equation

Vertex form of an equation

The standard vertex form of an equation is expressed as:

a(x − p)² = q

Given the quadratic equation x^2 − 14x + 49 = 0

The first step is to subtract the constant of the expression from both sides as shown:

Subtract 49 from both sides of the equation to have:

x^2 − 14x + 49 = 0

x^2 − 14x + 49 - 49= 0 - 49

x^2 - 14x = -49

Hence the first correct step to write the above equation in the form id to subtract 49 from both sides of the equation

Learn more on vertex form here: brainly.com/question/17987697

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Larry runs 2.5 miles and sees a total of 12 dogs. If Larry runs for a total of 8 miles, approximately how many dogs will Larry see?

Answers

Answer:

38.4

Step-by-step explanation:

We have 8/2.5=3.2 What does this mean? Well, it means that (if the miles are porportional to the dogs) that means he will see 3.2 as many dogs. So, we have 12*3.2=38.4, or 38 if the homework is asking for a rounded number. Hope I helped!

Larry sees 12 dogs per 2.5 miles.

Your trying to find out how many dogs Larry sees in 8 miles.

(2.5)/(12) = (8)/(x)

So you want to find x.

To go from 2.5 to 8, you have to multiply by 3.2

So do the same thing to the denominator; 12 × 3.2=38.4

Since there are 38.4 dogs, you have to round down because 0.4 dogs is no dog.

Larry sees 38 dogs in 8 miles.

♡ Hope this helped! ♡

❀ 0ranges ❀

The graph of a system of equations will intersect at more than ___.a. Always
b. Sometimes
c. Never

Answers

The graph of a system of equations will intersect at more than 1 point sometimes. Because in some cases it can't intersect axis.

Increase 30 by 1/2
help please its urgent​

Answers

Answer:

30.5 for decimal form and 30 1 /2 if mixed fraction needed

Help solving statistic children participating at a one week summer camp made five new friends on average during the first six days of camp. If each child made two more friends on the last day of camp, then how many friends on average did the children make during the one week summer camp

Answers

Answer:

On average the children on the camp made 7 new friends in the week.

Step-by-step explanation:

Given:

Average number of new friends camp made in 6 days = 5

Number of new friends made on the last day = 2

We need to find the number of new friends on average did the children make during the one week summer camp.

Solution:

Now we can say that;

to find the number of new friends on average did the children make during the one week summer camp is equal to sum of Average number of new friends camp made in 6 days and Number of new friends made on the last day.

framing in equation form we get;

the number of new friends on average made in 1 week = 5+2 =7

Hence On average the children on the camp made 7 new friends in the week.

Final answer:

On average, each child made 30 friends in the first six days of camp and another 2 on the last day, totaling an average of 32 friends made during the one week summer camp.

Explanation:

The children participating at the summer camp made an average of five new friends each for the first six days. This means they made a total of 5 friends/day * 6 days = 30 friends on average in the first six days. On the last day of camp, each child made two more friends. So, for the week as a whole, each child made an average of 30 friends from the first six days + 2 friends from the last day = 32 friends on average during the week-long summer camp.

Learn more about average here:

brainly.com/question/34817150

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