3 years ago

Find other values of a, b, and c so that log(a) + log(b) + log(c) = log(a + b + c).

Mathematics

1 answer:

yanalaym [24]3 years ago

5 0

Step-by-step explanation:

Given :

log(a) + log(b) + log(c) = log(a + b + c)

We know that by property

log(a) + log(b) + log(c) = log(abc)

Therefore,

log(abc) = log(a + b + c)

Thus,

(abc) = (a + b + c)

Thus when a = b = c = 0,

then (abc) = (a + b + c)

0 = 0

and when a = 1, b = 2, c = 3,

then (abc) = (a + b + c)

(1 x 2 x 3 ) = (1 + 2 + 3)

6 = 6

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Pablo wants to build a rectangular pen for the pig he is raising in his agriculture class. Pablo only has 36 feet of fencing. Wh

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Answer:

Area of the rectangular pen is: $18 \,x-x^2$

Step-by-step explanation:

We need to specify that the perimeter of the rectangular area of side x adds to the amount of fence Pablo has (36 feet). Recall as well that the opposite sides of a rectangle are equal, so if there is a side of length x, there must be another one of this size as well (a total of 2 x in the perimeter),let's assume that the perpendicular sides to x are of length y, then:

Perimeter= 2 x + 2 y = 36

so, 2 (x+y) = 36 then (x+y) = 18

and therefore the side y should be:

y = 18 - x

Now we can write the formula for representing the area of the rectangle (product of both quantities: x * y

$Area=x\,*\,y = x\,(18-x) =18 \,x-x^2$