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
AURORKA [14]
3 years ago
5

Please solve i got 3 but i’m not sure

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
Short answer x = 11/3
Step One

Change 64 to a power of 4
\text{64  = 4}^{4}

Step Two
Include 2x - 4 as part of your power. So far you are only working on the right side of the problem.

(x^{4*(2x - 4)}

Step Three
The bases are the same so you can equate the powers.
2x + 6   = 4(2x - 4) 

Step Four
Remove the brackets on the right.
2x + 6 = 8x - 16 

Step five
Collect like terms.     Begin by adding 14 to both sides.
2x + 6 + 16 = 8x       Subtract 2x from both sides.
22 = 8x - 2x
22 = 6x                     Divide by 6
22/6 = x
x = 3.666333 or 3 2/3 or 11/3

Check
Left hand side
4^(2*11/3 + 6) 
4^(22/3 + 6)
4^(22/3 + 18/3)
4^(40/3) 

Right Side
64^(2*11/3 - 4)
64^(22/3 - 4)
64^(22/3 - 12/3)
64^(10/3)    There is something we can do without figuring out what this is.
64 = 4^4
4^(4*10/3)
4^(40/3) which is the same as the left side

Answer x = 11/3 <<<<<
You might be interested in
Sarah has a make your own candle set that includes a block of wax in the shape of a rectangular prism. The block of wax has a le
rosijanka [135]

Answer:

She doesn't have enough wax to make 4 candles, but she does have enough to make 3 whole candles

Step-by-step explanation:

Please refer to the attached image for explanations

8 0
3 years ago
What two numbers has a lcm of 50
EleoNora [17]
1 and 50
2 and 25
2 and 50
5 and 50
10 and 50
25 and 50

4 0
3 years ago
PLease help i will give brainest
insens350 [35]

Answer:

pretty sure it's positive correlation

7 0
3 years ago
(6 feets,8 inches) + (4 feets,10 inches)=? feets, ? inches
Firlakuza [10]
The answer is 11 feet 6 inches
6 0
3 years ago
Graph -3 and one 3/2 and -0. Five and three on a number line
mina [271]

Answer:

if u want me to be honest i have no clue

7 0
2 years ago
Other questions:
  • Between 1995 and 2000, the average price of a house in Middlebury went up from $100,000 to $120,000. What was the percentage inc
    9·1 answer
  • Please helppppp me !!!!
    12·2 answers
  • Evaluate. Write your answer as a fraction in simplest form.<br><br> (1/2) 4
    10·1 answer
  • Determine whether the ratios 2/5 and 7/12 proportional yes or no ?
    11·1 answer
  • N the right triangle below, solve for x.Round your answer to the nearest tenth.
    14·1 answer
  • Find the value of x in the triangle shown below
    5·2 answers
  • HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • Question 22. Arc length is the distance between two points along a
    14·1 answer
  • Derek and Eric share £30 in the ratio 2:3. How much does Eric get?
    5·1 answer
  • Answer 3. and 4. Please help me
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!