4^x+ 2^(1+2x)= 50
I know what the answer is (about 2.03), but I need help getting there!

Answers

Answer 1

Step-by-step explanation:

4ˣ + 2¹⁺²ˣ = 50

Rewrite 4 as a power of 2.

2²ˣ + 2¹⁺²ˣ = 50

Factor out 2²ˣ.

2²ˣ (1 + 2) = 50

2²ˣ = 50/3

Take log of both sides.

ln(2²ˣ) = ln(50/3)

Use exponent property.

2x ln 2 = ln(50/3)

Solve for x.

x = ln(50/3) / (2 ln 2)

Simplify.

x = ln(50/3) / (ln 4)

x ≈ 2.03


Related Questions


What is the y-intercept of the line that models this situation?

Answers

Since the slope is consistent the y intercept would be 70.

You can try drawing a line connecting the other dots and see what crosses the y intercept.

But if you want to do the actual math the formula is y=mx+b. B being the y intercept.

So find slope (rise over run) or (y2-y1)/(x2-x1) I’ll choose (1, 65) (2, 60)
m= 60-65/2-1= -5/1= -5.
Negative also means the line is sloped down.

Plug the slope back into the formula using one of the points to substitute.

Using (1,65) into y=mx+b
65=-5(1)+b
65 =-5+b
65+5=b
b= y-intercept= 70

plz help me do this qutsion its so hard

Answers

if i’m correct i believe it’s b
i think the answer is b

the l.c.m of 5ab and 3ab​

Answers

Answer:

The answer is 15ab. You can just simply multiply the two given number

Algebra 1 9th grade 2/3x =-8

Answers

Answer:

x=-12

Step-by-step explanation:

2/3x=-8

Multiple both sides by 3/2

x=-24/2

x=-12

Answer:

x=-12

Step-by-step explanation:

Multiply both sides by 3/2

x=-24/2

x=-12

Hannah pays $85 per month for her cell phone plan that gives her unlimited talk and 500 outgoing text messages. After 500 text messages it costs $0.10 per outgoing text message. Write the equation that models how much she pays for her data.

Answers

Answer:

85x(500-0.10x)

Step-by-step explanation:

Rachel was playing a game on her computer out of 20 questions she answered 7 correctly at this rate how many questions should rachel answer correctly if she answered a total of 160 questions

Answers

Answer:

56

Step-by-step explanation:

(7/20)=(x/160)

160(7/20)=x

x=56

Find the value of x

Answers

Answer:

x=35

Step-by-step explanation:

Triangles always add up to 180 degrees, and so do straight lines. so 180-131=49, 49+96=145, 180-145=x, so x=35 degrees

Need geometry help ASAP

Answers

Answer:

D. 82

Step-by-step explanation:

a^2 + b^2 = c^2

80^2 + 18^2 = c^2

324 + 6400 = c^2

6724 = c^2

82 = c

What is the value of m in the figure? In this diagram ABD~BCD

Answers

Answer:

D.  √136

Step-by-step explanation:

see attached sketch

Answer:

sqrt 136

Step-by-step explanation:

just took the a pe x

the diameter of the sun is about 1.4 x 10

Answers

Answer:

1.4x10=14 if thats ur question

Step-by-step explanation:

1.4 * 10 = 14

Hope this helps.

2x + 20 = -3x-25
this is due in 20 minutes!

Answers

Answer:

x = -9

Step-by-step explanation:

Answer:

x= -9

Step-by-step explanation:

2x+20=-3x-25

+3. +3

5x+20=-25

-25. -25

5×=-45

÷5. ÷5

×= -9

James is a manager for a fast food hamburger stand. He makes a straight salary of $28,000 in 2004 but will receive a $1,000 raise every year. Which of the following statements are true? Select all that apply.

Answers

Answer: $28,000

             +$1,000

               $29,000

25-3x=2x help what’s x

Answers

Answer:

x=5

Step-by-step explanation:

add 3x to 2x

25=5x

then divide 25 by 5x

5=x

and flip

x=5

Identify the conjugate of -2-31.

Answers

Answer:

-2+31

Step-by-step explanation:

conjugate in simple terms is that it is taken in opposite sign.

for example the conjugate of [tex]5+\sqrt{2}\\[/tex]  is [tex]5-\sqrt{2}[/tex]

If u understood the concept...pls mark as Brainliest!

A car is traveling down a highway at a constant speed, described by the equation LaTeX: d=65td=65t, where represents the distance, in miles, that the car travels at this speed in t hours. How many miles does the car travel in 1.5 hour?

Answers

Answer: The car travels 97.5 miles in 1.5 hour.

Step-by-step explanation:

Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation [tex]d=65t[/tex], where represents the distance, in miles, that the car travels at this speed in t hours.

To find : Number of miles car travel in 1.5 hour.

Simply put t= 1.5 in the given expression , we get

65(1.5)= 97.5

That means , the car travels 97.5 miles in 1.5 hour.

Need a answer ASAP ! An explanation and answer please

Answers

Answer:

i wish i could help but im dumb

Step-by-step explanation:

Divide (3 5/9) (-2 2/3)

Pls help

Answers

It would be because u multiply 32/ -8 so the answer is. -1 1/3
.

(HIGH POINTS) PLEASE HELP URGENTLY!!!

Answers

I think it’s 67/24
I hope this help you out

• The value of the expression is

Answers

Answer:
27

Explanation:
(a+b)^3
= (2+1)^3
= 3^3
= 27

I hope this helped! Please comment if you have any questions :)

Answer:

15

Step-by-step explanation:

[tex](a+b)^{3}-12[/tex]

= [tex](2+1)^{3}-12[/tex]

= [tex](3)^{3}-12[/tex]

=(27)-12

=15

16
A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at
least $20. Solve an inequality that represents how much more you must spend to use the $5
coupon.
(1 Point)

Answers

Answer: The answer is m= ≥4.50

The required inequality is m ≥ 4.50

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at least $20.

Cost of the shirt = $15.50

you can use a $5 discount coupon if you spend at least $20

The question requires you to find how much more you need to spend to be able to use the $5 discount coupon

The shirt already cost $15.50

Total amount you need to spend = $20

Let the amount remaining = m

m ≥ $20 - 15.50

m ≥ $4.50

Hence, you need to spend $4.50 in order to be able to use the $5 discount coupon.

For more references on inequality, click;

https://brainly.com/question/11612965

#SPJ2

What is another name for line m in the figure below

Answers

Answer:

TV or VT

Step-by-step explanation:

A line is defined by the two points lying on an infinitely long straight paths.

From the picture attached,

There are two endless paths 'l' and 'm' which contain (R, U) and (V, T), intersecting at a point S.

Therefore, line 'm' will be represented by VT or TV.

And line 'l' will be represented by RU or UR.  

Solve for P
5/6p + 1= 3/4p -4

Answers

hii so p is equal to -60

Answer: P= -60

Step-by-step explanation:

5/6p +1=3/4p -4

5/6p=3/4p-4.       Subtract 1 from both sides

5p=9/2p-30.        Trick( if there is a fraction multiply the denominator on both sides to make it a non fraction so life is easier, as I did I first multiply by 6)

10p=9p-60.           multiply the second denominator on both sides(multiple by 2)

P=-60.                     Subtract 9p on both sides and keep the sign and you’ll get -60

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I believe the answer should be B

3. If the area of the rectangle is 252 square units, find x. PLEASE I REALLY NEED HELP! THANK YOU

Answers

Answer:

are or rectangle = l*b

252= (x+2) (2x+1)

252= 2x²+x+ 4x +2

2x²+5x -250=0

(x-10) (2x+25)=0

so x=10

using sum and product method

Step-by-step explanation:

Simplify the expression (5)2.
O 25
O-10
0-25
O 10

Answers

The answer is 25
I hope I could help!

What is the domain of the relation? {(−4.5, 0), (−3, 9), (0.9, 0), (4, −7.8), (4, 0), (17, 3)}

{0.9, 4, 17}

{−7.8, 0, 3, 9}

{−4.5, −3, 0.9, 4, 17}

{−4.5, −3}

Answers

Answer:

Domain of the relation is Option (c) : {−4.5, −3, 0.9, 4, 17}

The United States Tennis Association is researching the effect of what color the professional tennis players wear and
the number of foot faults called on them in one match. They collect data from every televised event of the year, noting
the color of the player's clothes and how many foot faults were called on the player. Which is this an example of?
-experiment
-simple random sample
-observational study
-convenience sample

Answers

Answer:

the answer is observation study

Step-by-step explanation:

2m:80cm.Give answer in lowest term PLEASE ​

Answers

Answer:

5:2

Step-by-step explanation:

In centimetres

convert 2 m to cm which will be 200 cm

then simplify 200 cm:80 cm --> 5:2

(we cancelled out the zero --> 20:8 then divide 20/2= 10 and 8/2= 4

again the same --> 10/2= 5 and 4/2= 2.

5 and 2 are prime numbers which have no other factor except for 1 and themselves so it cannot be simplified further.

Therefore your answer is 5:2

In metres

convert 80 cm to m which will be 0.8 m

the same steps: simplify 2:0.8

to remove the decimal move the decimal place one to the right --> 8

so you also have to move the decimal place to the right for the numerator: 20

20/8 = 5/2

- 3m + 6 (m - 2) = 9

Answers

Answer:

m=7

Step-by-step explanation:

step 1: -3m+6m-12=9

step 2: 3m-12=9

step 3: 3m=21

step 4: m=7

Answer:

m=7

Step-by-step explanation:

1. Simpilfy both sides of the equation & combine like terms

2.  Add 12 to both sides

3. Divide 3 from both sides

21 divided by 3 equals 7.

HELP ME PLEASE!! Find R and theta with the coordinates (-3,7).

Answers

Answer:

Since r is the distance from the origin to (x,y), it is the magnitude r=√x2+y2. Alternatively, from the equation (1), one can calculate directly that x2+y2=r2cos2θ+r2sin2θ=r2(cos2θ+sin2θ)=r2.

Step-by-step explanation:

Other Questions
The sum of 3 and x is less than 7.What number sentence represents the statement?O A. 3x7 1. Are there more inches in a mile or second in a day? What should Christoher Cloumbus legecy be Find the midpoint of the segment with the given endpoints.(8,7) and (-6,9) What is 10 to the -6th powert 10^-6 a. 0.000001 b. 100000 c. 1000000 d. 0.0000001 Easy points for you guys Which of the following observations best demonstrate water special property of cohesion Josh wants to convey his best wishes to johnathin for a meeting schedualed later diring the day. Which business documented would be most approperiate in his senario Can anyone help me with this? (I took a picture of it too) 11. STEM To convert a temperature in degrees Celsius to degreesFahrenheit, multiply the Celsius temperature by 9/5 and then add 32. Is atemperature in degrees Celsius proportional to its equivalent temperature indegrees Fahrenheit?Degrees Celsius0102030Degrees Fahrenheit132 (solve) i dont get it Alg 1 WeeConsider the expression 5 (y-7). Which of the following correctly expresses this expression? can someone please help me answer this The balanced scale represents the equation: 4x + 2 = x + 5If one x block is subtracted from the right side and two numbered blocks are subtracted from the left side. What process will balance the scale? Complete each sentence with the correct form of avoir!!! help please, thank you so much!! Sir Edwin Sandys wanted to:O A. Increase the size of Jamestown.B. Make Jamestown a mining colony.C. Keep the population of Jamestown mostly male.O D. Go to war with the local Native Americans.SUE Shellys old living room had a length that was twice its width. When she moved, her new living room was 2 feet longer and 4 feet wider that her old one. If w represents the width of her old living room write the expression used to represent the difference in the area of her old living room and her new living room. The two triangles are similar. There are two possible values of x. Work out each of these values. State both assumptions you make in your working. You must state which two triangles you are assuming to be similar. is she sprinted there a complete thought? 3 Powers given to the Legislature branch if the image of (x,y)(x-1,y+2) is a (-5,2)what is the pre-image ,or a? Where would period costs be found on the financial statements?A. As operating expenses on the income statement in the period incurred.B. As operating expenses on the income statement for a previous period.C. Under current assets on the balance sheet.D. Under current liabilities on the balance sheet.