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1. $$2^x=8\quad|\quad \ln{}$$
2. $$\ln{(2^x)}=\ln(8)$$
3. $$x*\ln{2}=\ln{8}$$
4. $$x=\frac{\ln{8}}{\ln{2}}=\frac{\ln{(2*2*2)}}{\ln{2}}=\frac{\ln{2}+\ln{2}+\ln{2}}{\ln{2}}=\frac{\ln{2}}{\ln{2}}+\frac{\ln{2}}{\ln{2}}+\frac{\ln{2}}{\ln{2}}=1+1+1=3$$
5. $$\boxed{x=3}$$

S.

The easiest way to solve is to see that y=1-2x=1-12x or -2x=-12x or -10x=0 so x=0.

Well, first of all I don't see "the following" solutions, but no worries!

You can graph the two equations in a graphing calculator by writing them in the y = mx + b form, where m is slope and b is the y-intercept.

For the first equation 2x + y = 1 you would move the 2x to the right and rewrite it as:

y = -2x + 1

The second equation stays the way it is: 

y = -12x + 1

Now graph both of them on the same axes, and look at the point where they intersect.

They intersect at (0, 1)

A quicker way to solve this using fractions would be to place 7.5 over 1 and 3 over 4.

7.5/1 * 3/4

Multiply straight across, tops and bottoms.

22.5/4 

Divide.

5.625 is your answer.

what is the mass of (NH4)2SO4?

I keep getting 130.124 and the answers are A) 114.09 amu; B)118.34 amu; C)128.06 amu; D)132.16 amu

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This compound is ammonium sulfate

The properly formatted depiction of its formula is

(NH₄)₂SO₄?

The Relative atomic mass of its constituent atoms are listed and multiplied by the number of atoms in the molecule.

N=14.01 ; 14 * 2 =     28.02

H=1.01; 1.01 * 4 * 2 = 8.08

S=32.07; 32.07 * 1=  32.07

O=16; 16 * 4 =          64

The composite products are summed to yield the total Relative atomic mass.

28.02 + 8.08 + 32.07 + 64 = 132.17 (amu)

~~D~~

7.5 * 0.75 I presume?

Put it into fractions. 15/2 * 3/4

15/2 = 30/4

30/4 * 3/4 = 90/16

80/16 = 5

5 + 10/16 = 5 + 5/8

Putting it back into decimal form (as given) then the answer is 5.625

@Anon: Thanks, I'm not the best at conversions like that.

it would be 6 because 0.5 pints in 1 cup.

Anon below me is correct.

i'd say yes

Remember PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

25 - (3^2 + 2 * 5)

Do what's in the parenthesis first.

3^2 + 2 * 5

Do exponents next.

3^2 = 9

Multiplication/Division after that.

2 * 5 = 10

Finally, addition.

9 + 10 = 19

Now, we have finished up what it inside the parenthesis. We can now look at the whole problem.

25 - 19 = 6

Your final answer is 6

This can go two ways:

The first, "feet" is the plural of foot as far as measurement goes. That means, you would have to have more than one foot to get feet.

The second, you can take a someone's feet and see how many times their feet can be along a ruler without them exceeding 12 inches or 1 foot. If you were to do that, I would suggest a baby's foot, so the value would be bigger. So if you are planning to do this, grab a ruler and ....

take chances, make mistakes, and get messy!

Depends on what I'm being asked about.

Just as an example, an architect has to measure all of the dimensions for a room, and a lot of fashion is actually loosely related to math (Golden Ratio, anybody?)

Think of how many times 2 needs to be multiplied in order to get eight.

2 x 2 = 4

4 x 2 = 8

Therefore, since 3 '2's were used, x = 3

2^3 = 8. x is equal to 3

If you look at the problem 2/3 + y/3 = 1/1, you are trying to find what plus 2/3 will give you 3/3, or 1.

We know that 2/3 + 1/3 will give you 3/3, which is 1 . So y will equal 1. But if that isn't directly obvious, it can be solved with multiple steps.

It is tempting to combine the 2 and y on the top of the fractions, because they share a common denominator, but you cannot combine unlike terms.

So first subtract 2/3 from both sides of the equation.

y/3= 1/1-2/3

Let's focus on the right side for a minute, to subtract fractions, you need the denominators to be the same. So multiply the numerator and denominator of 1/1 by 3.

This will give you 3/3 - 2/3. Subtract the numerators, and keep the denominators.

y/3=1/3     Now to get y by itself, multiply both sides by 3. 3/1 * 1/3; muliply straight across.

y=3/3 or 1

First, make all the denominators equal.

$${\frac{{\mathtt{2}}}{{\mathtt{3}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{y}}}{{\mathtt{3}}}} = {\frac{{\mathtt{3}}}{{\mathtt{3}}}}$$

That way, since all of the denominators are equal, they can all be canceled out. This makes the equation:

$${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{y}} = {\mathtt{3}}$$

Subtract 2 to isolate 'y'.

$${\mathtt{y}} = {\mathtt{1}}$$

Final answer.

Bah, when I looked at the topic, I thought those were two terms to get started D:

The circumfrence of a circle is modeled by C=pi*d

Based on what's given d=15

We want the area, which is modeled by A=pi*r^2

R is 7.5 since the radius is half the length of the diameter.

Square the radius. This gives you 56.25

Now times that value by pi.

The area of the circle is approximately 176. 71 units squared.

The answer is useless without the question 

Just take the opposite side and put it over the adjacent side.

I'm not certain of what those numbers in the bottom represent. I'm guessing they are different values that 2(x+3) equals. So we can solve for those values.

2(x+3)=10     First distribute the 2 to the contents of the parenthesis

2x+6=10       Subtract 6 from the other side

2x=4            Divide by 2

x=2

For the rest of the values, follow the same procedure.

2(x+3)= 1,135,143

x= 567,568.5

2(x+3)=2,132,132 

x= 1,066,063

2(x+3)=1,321

x= 657.5