1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pochemuha
3 years ago
9

"2^{4x + 14} = {64}^{x + 2} " alt="2^{4x + 14} = {64}^{x + 2} " align="absmiddle" class="latex-formula">
helpppppppppppppppp​
Mathematics
2 answers:
frutty [35]3 years ago
8 0

\\ \rm\longmapsto 2^{4x+4}=64^{x+2}

\\ \rm\longmapsto 2^{4x+4}=(2^6)^{x+2}

\\ \rm\longmapsto 2^{4x+4}=2^{6(x+2)}

\\ \rm\longmapsto 4x+4=6(x+2)

\\ \rm\longmapsto 4x+4=6x+12

\\ \rm\longmapsto 4-12=6x-4x

\\ \rm\longmapsto -8=2x

\\ \rm\longmapsto x=\dfrac{-8}{2}

\\ \rm\longmapsto x=-4

stepladder [879]3 years ago
8 0

Answer:

x = 1

Step-by-step explanation:

{2}^{4x + 14}  =  {64}^{x + 2}

➡️ {2}^{4x + 14}  = ( {2}^{6}  {)}^{x + 2}

➡️ {2}^{4x + 14}  =  {2}^{6x + 12}

➡️ 4x + 14 = 6x + 12

➡️ 14 - 12 = 6x - 4x

➡️ 2x = 2

➡️ x = 1

You might be interested in
How to solve this equation 6x+3=2x+8
MatroZZZ [7]
You Must Solve For The Value Of X To Make The Equation True. 
So, There Are Two Ways We Could Try This:
Guess And Check
Or
Solve

I Am Going To Show You How To Solve This Because That Is What You Need To Know. So, We First Need To Look At It.

6x + 3 = 2x + 8

So, we need to subtract 3 from the right side's 8 to begin.
The equation becomes:

6x = 2x + 5

Now, We Need To Simplify The 2x. Subtract 2x from 6x. 
The Equation Becomes:

4x = 5

Now, Divide.

4x/4 = 1x = X

So,

X = 5/4

5/4 = 1 and 1/4

So

X = 1 ¼ 


4 0
3 years ago
If the value of 6 coins is $0.56, what are the coins?​
arsen [322]

Answer:

1 quarter, 2 dimes, 2 nickels, and 1 penny.

8 0
2 years ago
A car depreciated $2000 each year it was owned and driven. What type of depreciation is this?
Greeley [361]
Straight line depreciation, the value of the car is given by the following equation, where V is the value of the car, and O is the original value of the car, and x is the number of years since buying the car. V=O-2x This equation follows the form of a straight line, that is: y=mx+b
3 0
3 years ago
Read 2 more answers
Tell whether the lines through the given points are parallel, perpendicular, or neither.
ira [324]

Answer: Line 1: (2, 3) , (4, 12)

m = (12 - 3)/(4 - 2) = 9/2  This is the slope of the line

y = (9/2)x + b

3 = (9/2)(2) + b

3 = 9 + b

b = -6

y = (9/2)x  - 6

 

Line 2: (5, 10) , (14,8)

m = (8 - 10)/(14 - 5) = -2/9

this slope is the opposite sign, and inverse of the first equation's slope.  Therefore, the line is perpendicular.

y = mx + b

8 = (-2/9)(14) + b

8 = -28/9 + b

11.11 = b

y = (-2/9)x + 11.11

Step-by-step explanation: Hope this helps :)

7 0
2 years ago
A coin is tossed. If head appears, A spinner that can land on any number from 1 to 4 is spun. if tales appears a second coin is
kramer
The answer is c because if head appears and the spinner is spun with 1 - 4 on it then you can get either h1, h2, h3 or h4 and if tales appears and another coin is tossed you can get either th or tt
5 0
3 years ago
Other questions:
  • ASAP! Please help me!!!
    9·1 answer
  • I don't really get this
    11·1 answer
  • I need to find the sum of this equation
    15·1 answer
  • When Max makes trail mix, he uses 2 cops
    8·1 answer
  • Does anyone know the answer.
    7·1 answer
  • What is -1+-4(-6) then divided by 1
    11·2 answers
  • Which expression is equivalent to (3b+2r)+(4b+r)​
    14·2 answers
  • Solve the following:<br> -x + 4(1 + 5x) = 156<br> I need help please ?
    12·1 answer
  • please help will give BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLI
    11·2 answers
  • A linear function is given by the equation y=4x. Using the points x and x+1, show that the y-values increase by 4 between any tw
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!