2^x+5 = 3^1-x use logarithms to solve the exponential equation. round answer to 3 decimal places.

Answers

Answer 1

Answer: $2^(x+5)=3^(1-x)\ \ \ \ \ /log_2()\n\nlog_22^(x+5)=log_23^(1-x)\n\nx+5=(1-x)log_23\n\nx+5=log_23-xlog_23\n\nx+xlog_23=log_23-5\n\nx(1+log_23)=log_23-5\ \ \ \ /:(1+log_23)$

$x=(log_23-5)/(1+log_23)\n-------------\nlog_23\approx1.5849625\n----------------\nx\approx(1.5849625-5)/(1+1.5849625)\approx-1.321$

Answer 2

Answer: 2^x+5 = 3^1-x
take log on both sides
(x+5)log2=(1-x)log3
0.3010(x+5) = (1-x)0.4771
0.3010x + 1.5050 = 0.4771 - 0.4771x
0.7781x= -1.0279
x=-1.320

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When the directive word for an essay exam is criticize, it also means to:a. discuss.
b. evaluate.
c. justify.
d. state.

Answers

When the directive word for an essay exam is criticize, it also mean justify. It's justify because you want to give constructive criticism and share your opinions and ideas to also help as well.
I hope this helped you, I'm sure its correct :)

Which fraction is equal to 0.4 repeating

Answers

The fraction equal to 0.4 repeating is 4/9.

The fraction equal to 0.4 repeating can be determined by converting the repeating decimal into a fraction form.

We denote the repeating decimal as x. To eliminate the repeating part, we multiply both sides of the equation by a power of 10 that is equal to the number of repeating digits.

In this case, multiplying by 10 will be enough.

10x = 4.44444...

Now, subtracting x from both sides, we have:

10x - x = (4.44444...) - (0.44444...)

9x = 4

Dividing both sides by 9:

x = 4/9

Therefore, the required fraction is 4/9.

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four over nine
x=0.44444
10x = 4.44444
10x-1x = 4
9x = 4
x = 4/9

A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week?They sold _____ boxes the first week, _____ boxes the second week, and ____ boxes the third week.

Answers

So,

We have three placeholders.

x, y, and z will represent the number of cookie boxes they sold for the first, second, and third weeks, respectively.

"The girls sold 5 more boxes the second week than they did the first."
x + 5 = y

"They doubled the sales of the second week for the third week."
z = 2y

"To sell a total of 431 boxes of cookies"
x + y + z = 431

Now we have our three equations.
x + 5 = y
z = 2y
x + y + z = 431

Obviously, we can substitute y and z in the last equation, because the other two open sentences tell us what they are.
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2(x + 5) = 431

Collect Like Terms.
2x + 5 + 2(x + 5) = 431

Distribute.
2x + 5 + 2x + 10 = 431

Collect Like Terms.
4x + 15 = 431

Subtract 15 from both sides.
4x = 416

Divide both sides by 4.
x = 104

Now we can use the other two original sentences to figure out what y and z are.
x + 5 = y
104 + 5 = y
109 = y

z = 2y
z = 2(109)
z = 218

Now, to check, add x, y, and z.
x + y + z = 431
104 + 109 + 218 = 431
213 + 218 = 431
431 = 431 This checks.

The Girl Scouts sold 104 cookie boxes on the first week, 109 boxes on the second week, and 218 boxes on the third week.

Answer:

IT'S CORRECT!

Step-by-step explanation:

The cost of three scarves is $26 and 25 s The cost of three scars is $26.25 what is the unit price