solve for x using Logarithm
4^x+6^x =9^x​

Answers

Answer 1
4^x + 6^x = 9^x

4^x + 6^x - 9^x = 0

2^2x + (2×3)^x - 3^2x = 0

2^2x + 2^x×3^x - 3^2x = 0

(⅔)^2x + (⅔)^x - 1 = 0

let t = ( ⅔)^x

t² + t - 1 = 0

t = (-1+√5 ) / 2

(⅔)^x = (-1+√5 ) / 2

x = Log base ⅔ ((-1+√5 ) / 2 )


x = 1.18681

Related Questions

I need help 6x-2y=10 x-2y=-5 solve by elimination

Answers

ExplanationGiven the system of equations.

[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]

Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.

To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]

There as we can get rid of the y-term by adding both equations.

[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.

Answer Check by substituting both x and y values in both equations.

First Equation

[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]

Second Equation

[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)

Answer

[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]

Can y’all help me on question 20?!

Answers

Answer:

372 miles

Step-by-step explanation:

brainliest please

What is the data correlation in the scatter plot below?




Negative


No correlation


Positive

Answers

The answer would be positive

Mr. Twain asked the students in his class to draw the figure below using a scale factor
2 in.
3.1 in.
3.9 in.
4.5 in.
Student
Response
5 in.
Mark
Samantha
6 in.
Divia
1.3 in.
Cheng
0.9 in.
Candice
11.7 in.
Select all students that answered Mr. Twain's question correctly.

Answers

Answer:Mark

Step-by-step explanation:Diva

Answer:

Samantha and Candice

Step-by-step explanation:

In the question it says a scale factor of 3 which means you have to multiply all sides by 3 and when I multiply all sides by 3 ; Samantha and Candice were the correct match.

Can y’all help me a question 25?!

Answers

Answer:

19.8839 miles away

Step-by-step explanation:

:)

11 b = 5, what is a
B. 25
C, 75
D. 125

Answers

Answer:

2.2

Step-by-step explanation:

please help me with this question​

Answers

Answer

777

Step-by-step explanation:

jnimimimimimim000

Answer: 777

Hope this helps!!

Sorry if it's not correct!!

Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?

Answers

Answer:

4

Step-by-step explanation:

combine like terms 15r-6r=9

9=36

divide both sides by 9

=4

What is the percent increase from 40 to 64

Answers

Answer:

60 percent

Step-by-step explanation:

Where: 40 is the old value and 64 is the new value. In this case we have a positive change (increase) of 60 percent because the new value is greater than the old value.

Ay anyone willing to help me with my work kinda lost

Answers

Okaayyy

Set B has the greater mode

20 + 60 ÷ 5 + (9 - 4)2

Answers

Answer:

42

Step-by-step explanation:

20 + 60 ÷ 5 + (9-4)2

Use PEMDAS to solve this equation, so first solve what is in the parentheses

20 + 60 ÷ 5 + (5)2

Since there are no exponents, next solve the multiplication

20 + 60 ÷ 5 + 10

Next is division

20 + 12 + 10

Finally, addition

42

I would like to know the answer

Answers

Answer:

5x^2-2x+4

Step-by-step explanation:

Subtract the x square, x, and numbers

find the 7th term in the sequence
1/3,1,3,9

Answers

y = 3x

Proof:

3(1) = 3

3(3) = 9


5. 9(3) = 27

6. 27(3) = 81

7. 81(3) = 243


The 7th term is 243.
So peosjdjnds. Sksjsjsnsnejdd

Hey someone pls help the girl out

Answers

Answer:

because one i one is higher than the other, if you look at it

Answer:

Larger

Step-by-step explanation: 6/5= 1.2 so 1.2 would be diametrically larger

1. If AABD - AHGE and AC and HF are angle

bisectors, find x.

B

G

F

24

. م

X

35

E

14

H

Answers

Answer:

9.6

Step-by-step explanation:

Find the diagram attached. Using the similarity theorem of triangles

AC/AD = FH/EH

Given

AC = 24

AD = 35

FH = x

EH = 14

Substitute into the formula

24/35 = x/14

Cross multiply

35×x = 24×14

35x = 336

x = 336/35

x = 9.6

Hence the value of x is 9.6

Explain answer !

( Will give brainlst)

Answers

Answer:

I think that the answer is m= -5/4

Subtract them so 2x - 3x is -x
12-17 is -5
-x=-5
x=5
substitute x in to one of them ill ise the top
10+2y=12
-10 from both sides
2y=2
y=1
substitute it in the bottom to check its correct

2y = x - 4
4x + 3y = 5

Answers

Answer:

the answer is, {x,y} ={2,1}

Step-by-step explanation:

1) 4x - 3y = 5     2) x + 2y = 4   3) 4•(-2y+4) - 3y = 5     4) - 11y = -11                         5) 11y = 11   y = 1    6)   x = -2y+4 y = 1    7)   x = -2(1)+4 = 2 = {x,y} = {2,1} !!!

cual es mayor 3/12 o 3/8

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

3/12 = 0.25

3/8 = 0.375 este es mayor

someone pls help me with this question

Answers

Answer:

Surface Area = 2×(6×8 + 6×4 + 8×4) = 208 centimeters2

Step-by-step explanation:

Step-by-step explanation:

please see the attachment..n note it somewhere on a sheet n paste that at a place where you can see that every now n then...so you'll learn that slowly n gradually... you'll enjoy!!!(◍•ᴗ•◍)❤

1. If a height of each of the bars in a bar graph get taller as you go from the far left to the far right, the data are:

A. skewed left

B .symmetrical

c skewed right

D. No answer text provided.


2. If the height of each of the bars in a bar graph get shorter as you go from the far left to the far right, the data are:

A. skewed left

B. symmetrical

C. skewed right

D. No answer text provide

3. If the height of the each of the bars in a bar graph as you go from the far left to the right gets taller until you reach the middle and then gets shorter as you continue to the far right, the data are:
Group of answer choices

A.skewed left

B. symmetrical

C. skewed right

D. No answer text provided.

Answers

Answer:

1. Skewed to left (negative)

2. Right skewed (positive)

3. Symmetric

Step-by-step explanation:

Algebra quadrilateral dklm is a rhombus if dk=8, find kL

Answers


Pretty sure kL is also 8 since it’s a quadrilateral

LuANN is playing a math game. She chooses 3 cards. The value of her cards is hownn below
First card: -12
Second card: 3
Third card: -5
What was the sum of the value of LuANNS three cards?

Answers

I believe it is -14 :)

Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?

Answers

Answer:

Step-by-step explanation:

1.25p=6600

p=6600/1.25

p=5280

Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?

Answers

Answer:

19 quarts

Step-by-step explanation:

you change the measurements to quarts.

helo wat is 9 plus tin plez help also you mom old like prehistoric dinosaur

Answers

Answer:

9 plus ten is 19

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Actually its 19 but with extreme measures its 21

100 POINTS! SHOW WORK!

Given : MO bisects

Answers

Answer:

[tex]\huge\boxed{\boxed{\mathcal{C)x=13.25}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:disectsequationPEMDAStips and formulas:disects divide an angel to two equal angleslet's solve:

[tex] step - 1 : define[/tex]

[tex]\text{according to the question}[/tex]

[tex] \sf5x - 22 = x + 31[/tex]

[tex] step - 2 : solve[/tex]

[tex] \sf \: add \: 22 \: to \: both \: sides : \\ \sf5x - 22 + 22 = x+31+22\\ \sf 5x=x+53[/tex][tex]\sf\text{ cancel x from both sides}\\ \sf 5x-x=x-x+53\\ \sf 4x=53[/tex][tex] \sf divide \: both \: sides \: by \: 4 \\ \sf \frac{4x}{4} = \frac{53}{4} \\ \sf x = 13.25[/tex]

If MO bisects <LMN then m<LMN=2m<LMO

[tex]\\ \sf\longmapsto 5x-22=2(x+31)[/tex]

[tex]\\ \sf\longmapsto 5x-22=2x+62[/tex]

[tex]\\ \sf\longmapsto 5x-2x=62+22[/tex]

[tex]\\ \sf\longmapsto 3x=84[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{84}{3}[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much does each have?

Answers

Answer:

Bill has $21.

Step-by-step explanation:

There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.

Does this expression represent the sum 13.76 + 2.8?

fifteen and fifty-six hundredths

Answers

Answer:

False

Step-by-step explanation:

False becuase numbers dont add up

name the property that the statement illustrates (photo)

Answers

Answer:

I dont see a photo?

Step-by-step explanation:

toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?

Answers

Answer:

48 kilometers

Step-by-step explanation:

If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)

Other Questions
what are value integration? Zora wants to dissolve a solute in a solvent quickly. Which best describes what she should do? decrease the pressuredecrease the surface areashake it repeatedlyplace in a refrigerator Find the area of each regular polygon. Round to the nearest tenth.A= _ In2 ? Which of the following statements best describes settlement patterns in the Middle East? Determine whether Joe is shorter or taller than the height of the tepee Why might a person make an exaggeration about something? 11. What is the mass of an object which has 2400 J of KE when traveling at 5 points6 m/s?63 kg130 kg270 kg400 kg Describe an example of how genetic factors influence the growth of dogs? What word means wealth to invest in enterprises. (About the industrial revolution) Write a program that uses an initializer list to store the following set of numbers in an array named nums. Then, print the array.14 36 31 -2 11 -6Sample Run[14, 36, 31, -2, 11, -6] how did george washington OVERCAME challengesgive 4-5 sentence pleasebest answer = brainlist! Helppp! 20 points!Find mm If x=5 then what is 3x+(2-4x). P.S. standard form PLEASE HELP, WILL MARK BRAINLESTQuestion 3(Multiple Choice Worth 6 points)Study the graph below. At what depth does the thermocline begin?A line graph relating ocean depth to water temperature. At 0 meters, temperature is approximately 27C. At 100 meters, temperature is approximately 24C. At 200 meters, temperature is approximately 11C. At 300 meters, temperature is approximately 8C.Public Domain 0 meters 100 meters 200 meters 300 meters What did Marco Polo think of Khans palace? g(x)=-7x+6. Solve g(x)=-17 In this exercise you will be evaluating the economic condition of the country and making decisions in order to keep the economy level. The amount of money in circulation has a tremendous effect on the economy and inflation. Imagine if you found $100,000 in cash floating around your front yard. What would you do with it An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandeliers and 3 large chandeliers, which weighed a total of 308 pounds. In the second box, he packed 5 small chandeliers and 5 large chandeliers, which had a weight of 430 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh? what is the rate of acceleration of a 2,000-kilogram truck if a force of 4,300 N is used to make it start moving forward Kate had $140. She spent2/5 of it. What amount did she spend?