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ozzi
3 years ago
13

Which expression is equivalent to

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

a

Step-by-step explanation:

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Solve for the values of x in the equation: <br> 2^(x) = 4x.
Eva8 [605]

There are two of them. 

I don't know a mechanical way to 'solve' for them.

One can be found by trial and error:

x=0 . . . . . 2^0 = 1 . . . . . 4(0) = 0 . . . . . no, that doesn't work
x=1 . . . . . 2^1 = 2 . . . . . 4(1) = 4 . . . . . no, that doesn't work
x=2 . . . . . 2^2 = 4 . . . . . 4(2) = 8 . . . . . no, that doesn't work
x=3 . . . . . 2^3 = 8 . . . . . 4(3) = 12 . . . . no, that doesn't work
<em>x=4</em> . . . . . 2^4 = <em><u>16</u></em> . . . . 4(4) = <em><u>16</u></em> . . . . Yes !  That works !       yay !

For the other one, I constructed tables of values for 2^x and (4x)
in a spread sheet, then graphed them, and looked for the point
where the graphs of the two expressions cross.

The point is near, but not exactly,         <em>x = 0.30990693...

</em>
If there's a way to find an analytical expression for the value, it must involve
some esoteric kind of math operations that I didn't learn in high school or
engineering school, and which has thus far eluded me during my lengthy
residency in the college of hard knocks.<em> </em> If anybody out there has it, I'm
waiting with all ears.<em>

</em>
7 0
2 years ago
Read 2 more answers
If 9/10 of cats prefer felix food of the total 500 surveyed,how many do NOT prefer felix
gregori [183]

Answer:

450 cats do NOT prefer felix

Step-by-step explanation:

9/10= x/500

6 0
2 years ago
A circle has a circumference of 9π what is the diameter?
mixas84 [53]
C=πd  where C=circumference, π=the constant pi, and d=diamter

d=C/π  and since we are told that C=9π

d=9π/π

d=9
7 0
3 years ago
What are the common factors of 15,45 and 90
AnnZ [28]
Answer= 1,3,5,15

which are in essence all on the factors of 15
4 0
2 years ago
Read 2 more answers
Archimedes knew that at 8 am the sunlight reaches the ground at an angle if 43 degrees. The rock besides him is 7 meters tall. H
Alenkasestr [34]

Answer:

Distance between Archimedes and the rock = 7.51 m ≅

Step-by-step explanation:

The sunlight makes an angle of depression of 43 degrees

Hence angle between the rock and the sunlight rays is = 90-43=47 degrees

Distance between Archimedes and the rock = Tan 47 = X/7

X = 7 tan 47 = 7.506580970172 = 7.51m ≅

4 0
3 years ago
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