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2 years ago

Rewrite the following in the form log(c). log(10) – log(5)

Mathematics

1 answer:

Svet_ta [14]2 years ago

3 0

Answer:

log(2)

Step-by-step explanation:

In order to combine log(10) and log(5), you need to look at the sign that's combining them. In this example, it is a subtraction sign. When two logs are being subtracting from each other, it's the same as dividing the two. You would rewrite it like this:

log(10/5)

You would then solve 10/5, and get 2. You would rewrite the log as:

log(2)

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(show the supposition, proof and conclusion)

larisa86 [58]

Answer:

Step-by-step explanation:

We are given that a and b are rational numbers where $b\neq0$ and x is irrational number .

We have to prove a+bx is irrational number by contradiction.

Supposition:let a+bx is a rational number then it can be written in $\frac{p}{q}$ form

$a+bx=\frac{p}{q}$ where $q\neq0$ where p and q are integers.

Proof: $a+bx=\frac{p}{q}$

After dividing p and q by common factor except 1 then we get

$a+bx=\frac{r}{s}$

r and s are coprime therefore, there is no common factor of r and s except 1.

$a+bx=\frac{r}{s}$ where r and s are integers.

$bx=\frac{r}{s}-a$

$x=\frac{\frac{r}{s}-a}{b}$

When we subtract one rational from other rational number then we get again a rational number and we divide one rational by other rational number then we get quotient number which is also rational.

Therefore, the number on the right hand of equal to is rational number but x is a irrational number .A rational number is not equal to an irrational number .Therefore, it is contradict by taking a+bx is a rational number .Hence, a+bx is an irrational number.

Conclusion: a+bx is an irrational number.

5 0

3 years ago

Which polynomial is a product of (3x+2) and (x-7)

pogonyaev

(3x+2) (x-7)

FOIL

first 3x*x = 3x^2

outer 3x*-7 = -21x

inner = 2*x = 2x

last 2*-7 = -14

add them together = 3x^2 -21x+2x -14

combine like terms 3x^2 -19x -14

5 0

2 years ago

A teacher divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pic

jeyben [28]

So this is what i did but im not sure if its 100% correct

585 / 9 to get the number of groups = 65

then you take 65 x 3 for number of students in each group and you get the final answer of 195 students

5 0

3 years ago

Read 2 more answers

PLEASE HELP due soon!I forgot how to do it omg

Flura [38]

Answer:

(3, -3) is correct

Step-by-step explanation:

-4 × 3 = -12. -12 + 9 = -3

8 0

3 years ago

HELP any1 good at math?

valentina_108 [34]

Step-by-step explanation:

the equations are :-

=》d = 40m + 200

=》d = 50m

here, by equalising both equations.

( since, d = d )

=》40m + 200 = 50m

=》50m - 40m = 200

=》10m = 200

=》m = 200 ÷ 10

=》m = 20

now,

=》d = 50m

=》d = 50 × 20

=》d = 1000

6 0

2 years ago