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
ivanzaharov [21]
3 years ago
15

Find all real solutions x to 4^x - 2^x = 56.

Mathematics
2 answers:
Sonbull [250]3 years ago
8 0
Since the bases are the same, set the exponents equal to each other. X = 3
SashulF [63]3 years ago
7 0
4^{x} ↓
 (( 2^{x}  )) ^2↓
y^{x}  = w↓
w^{2}  - w - 56 = 0↓
w - 8  &  w + 7↓
w(1) = 8 → w(1) = 2^{x1} = 8 x(1) = 3↓
w(2) = -7 → w(2) = 2^{x2}  = -7
So, therefore the value of "x" would have to be "3" 
You might be interested in
Find the prime factorization of 60, and then write in Standard Form, Expanded Form, and Exponential Form.
Katyanochek1 [597]
Jesjdjdjdjdjdjdjdhdhdhdhdhdhd
6 0
3 years ago
Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when diffe
dlinn [17]

Answer:

Tthe solution is in the attached file

Step-by-step explanation:

The step by step calculation is as shown in the attachment

4 0
3 years ago
In Kailah's class the ratio of girls to boys is 13 to 8. If there were 16 boys, how many girls will there be?
VladimirAG [237]

Answer:

I believe that the answer is 26

Step-by-step explanation:

The ratio of girls to boys is 13 to 8 so there are 13 girls for every 8 boys so if there are 16 boys (8X2) then there are 26 girls (13X2)

5 0
3 years ago
Read 2 more answers
A solid oblique pyramid has a regular hexagon base with an area of 54_/3 cm^2 and an edge length of 6cm. Angle BAC measures 60 d
Lady_Fox [76]

Answer: The answer is (C) 324 cubic cm.


Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.

We are to find the volume of the pyramid.

The formula for finding the volume of a pyramid is given by

V=\dfrac{1}{3}b\times h,

where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.

Here, b = 54√3 cm², h = ?

Now, from the right-angled triangle ABC, we have

\dfrac{\textup{BC}}{\textup{AC}}=\tan 60^\circ\\\\\Rightarrow \dfrac{h}{6}=\sqrt 3\\\\\Rightarrow h=6\sqrt 3.

Therefore, the volume of the pyramid is

V=\dfrac{1}{3}b\times h=\dfrac{1}{3}\times 54\sqrt 3\times 6\sqrt 3=324.

Thus, the required volume is V=324~\textup{cm}^3. This makes (C) as the correct option.



5 0
4 years ago
Xavier rides his bike 5 1/4 miles or 82% of his goal for the day. What is his goal for the day?
Leno4ka [110]
Use ratio and proportion

5.25/x= 82/100
cross multiply
82 x= 525
     x= 6.4 miles

Hope this helps
8 0
3 years ago
Other questions:
  • How do you solve this?
    15·1 answer
  • G divided by 5/6 equals to 2
    6·2 answers
  • The least common denominator of the two fractions is 30. If you add the two denominators, their sum is 17. What are the denomina
    8·1 answer
  • Pls help I’m not the best at math
    13·2 answers
  • Helpppppp pleaseeee I have to ansswer Find the area of the shaded region
    10·1 answer
  • HELP DUE AT 8:30 I NEED To Do DIS​
    7·1 answer
  • Find the value of x in the figure below<br><br> x = <br> degrees<br><br><br><br> x = <br> degrees
    5·1 answer
  • 36 POINTS!
    6·2 answers
  • Can someone help please ?
    7·2 answers
  • Solve the equation and enter the value of x below.<br> 8x + 11 = 35
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!