All categories

3 years ago

NEED HELP What is the real value of x in the equation log.2.24 - log.2.3 = log.5.x ?

Mathematics

2 answers:

tia_tia [17]3 years ago

8 0

Answer:

125

Step-by-step explanation:

log2 (24) - log2 (3) = log5 (x)

We know that log a(b) - log a(c) = log a( b/c)

log2 (24/3) = log5 (x)

log2 (8) = log5 (x)

Rewriting 8 as 2^3

log2 (2^3) = log5 (x)

We know that log a ( a^b) = b loga (a) and loga (a) =1

3 log2 (2) = log5 (x)

3 *1 = log5 (x)

3 = log5 (x)

We know log a (b) =c can be written as a^c =b

5^3 = x

125 =x

sergey [27]3 years ago

6 0

Answer:

x = 125

Step-by-step explanation:

log2(24) - log2(3) = log5(x)

log2(8×3) - log2(3) = log5(x)

log2(8) + log2(3) - log2(3) = log5(x)

log(8) = log5(x)

log2(2³) = log5(x)

3log2(2) = log5(x)

3 = log5(x)

x = 5³

x = 125

You might be interested in

Find the perimeter and area of the polygon with the given vertices C (4,0) D (4,7) E (8,7) F(8,0)

Dafna11 [192]

The perimeter would be 7+7+4+4 or 14+8 which equals 22 and the area would be 7x4 which is 28

3 0

3 years ago

I’ll give points + brainalist

notka56 [123]

Answer:

Step-by-step explanation:

The number of points either side of the line of best fit are equal (3 points either side) and the line is the line of best fit.

5 0

2 years ago

a company owns two dealerships, both of which sell cars and trucks. the first dealership sells a total of 164 cars and trucks. t

OLEGan [10]

Answer:

294 cars.

Step-by-step explanation:

Let x be the number of cars and y be the number of trucks.

We have been given that the first dealership sells a total of 164 cars and trucks. We can represent this information as:

$x+y=164...(1)$

The second dealership sells twice as many cars and half as many trucks as the first dealership. So the number of cars sold by 2nd dealership will be 2x and number of trucks sold by 2nd dealership will be y/2.

Further, the 2nd dealership sold a total of 229 cars and trucks. We can represent this information as:

$2x+\frac{y}{2}=229...(2)$

We can see that total number of cars sold on two dealerships will be $x+2x=3x$ .

We will use substitution method to solve for x. From equation (1) we will get,

$y=164-x$

Substituting this value in equation (2) we will get,

$2x+\frac{164-x}{2}=229$

Now let us have a common denominator.

$\frac{4x}{2}+\frac{164-x}{2}=229$

$\frac{4x+164-x}{2}=229$

Upon multiplying both sides of our equation by 2 we will get,

$2\times \frac{4x+164-x}{2}=2\times 229$

$4x+164-x=458$

$4x+164-164-x=458-164$

$4x-x=458-164$

$3x=294$

Therefore, the total number of cars sold by two dealerships is 294.

7 0

3 years ago

Which expression is equivalent to the expression 22 – 10 – 7.5?

Sergeu [11.5K]

Answer:

24.5-9-6

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A health food company sells packs of assorted nuts. The company incurs a monthly fixed cost of $1400 for ingredients and raw mat

aliya0001 [1]

1400 + 1x....or 1400 + x

7 0

3 years ago