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
ra1l [238]
10 months ago
6

8 to the power 1/6 times 2 to the power x equals 32 to the power 1/2

Mathematics
1 answer:
Elza [17]10 months ago
4 0

The exact value of x is 2.

<h3>What is linear equation?</h3>

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾

32⁽¹/²⁾ = 2⁵⁽¹/²⁾

32⁽¹/²⁾ = 2⁽⁵/²⁾

8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾

8⁽¹/⁶⁾ = 2⁽¹/²⁾

8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ

= 2⁽¹/²⁾+ˣ  

= 2⁽¹/²+ˣ⁾

since 8⁽¹/⁶⁾ x 2ˣ  = 32⁽¹/²⁾

= 2⁽⁵/²⁾

2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾

equate the powers

1/2+ x = 5/2

subtract 1/2 from both sides

x = 5/2 - 1/2

x = (5-1)/2

x = 4/2

x= 2

Therefore, x = 2 is the exact value of x.

To know more about linear equation, visit:

brainly.com/question/11897796

#SPJ9

You might be interested in
Jane is Billy's sister, Jane is 3 years older than 2 times Billy's age. If Billy is 7 years old then how old is Jane?
Cerrena [4.2K]
J(Jane) + 3 = B(Billy)*2
J + 3 = 7(2)
J + 3 = 14
J = 14-3
J = 11 (Jane is 11)Cheers!
3 0
3 years ago
Read 2 more answers
Help me please i will give branlist<br> 30% off of 90
lapo4ka [179]

Answer:

answer is 27 hope it helps

4 0
2 years ago
4. (x+ 2)(2x2 + 9x+8)
vfiekz [6]

Answer:

2x3+9x2+8x+4x2+18x+16

2x3+13x2+26x+16

6 0
3 years ago
Trey is solving his equation, and the last line of his work is "-2 = 2". What does this mean?
oksian1 [2.3K]

Answer:

it means that his equation is not true.

Step-by-step explanation:

-2=2 is obviously incorrect, so we must assume that the equation isn't true.

3 0
3 years ago
Please help me someone
katovenus [111]

Answer: Surface area is 169π

Step-by-step explanation:

A=\pi \cdot \:d^2

A=\pi d^2

A=\pi 13^2

A=169\pi

6 0
2 years ago
Other questions:
  • 20 Points PLEASE Hep .Factorize this<br> h(t) = -16x^+72x<br> ( negative 16 squared plus 72x )
    6·2 answers
  • Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot
    12·1 answer
  • World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of
    7·1 answer
  • 60 is 10 times as much as what? 60<br> is 1/10 of what?
    12·1 answer
  • George wants to buy a shirt that costs $69.00. He has a 20% off coupon. How much will
    6·1 answer
  • Find the constant of variation for the relationship f(x)= 40x.
    7·2 answers
  • Subtract 3x^2+8x3x 2 +8x from -9x^2+3x-8−9x 2 +3x−8.
    7·1 answer
  • 30-60-90 triangle..find the value of y ?
    8·1 answer
  • Evaluate 1/4xy if x = -2/3 and y = 3/5<br><br> Pls i need this for tomorrow
    12·1 answer
  • I need some help please
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!