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3 years ago

What is the solution of log2 (3x-7) =3

Mathematics

2 answers:

Valentin [98]3 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

because the log is base 2 you can remove the log by raing 2 to the power of each side:

$2^{log2 (3x-7)} = 2^{3}$

the 2 and log2 cancel leaving:

$3x-7 = 2^{3}$

this means we can now solve through simple algebra:

$3x-7 = 8\\3x = 8 + 7\\3x = 15\\3x/3 =15/3\\x = 5$

hammer [34]3 years ago

5 0

The Solution X = 5.

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Rock concert tickets are sold at a ticket counter. Femalesandmalesarriveat times of independent Poisson processes with rates 30

mestny [16]

Answer: The probability that the first three customers are female is 0.216

Step-by-step explanation:

The attachment below shows the calculations clearly.

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4 years ago

The length of a rectangle is 10m greater than the width. The area is 24m^2

Ivan

Answer:

length: 12m

width: 2m

Step-by-step explanation:

24 = a*w

a = w+10

then:

24 = (w+10)w

24 = w*w + 10*w

24 = w² + 10w

0 = w² + 10 - 24

w = {-10±√((10²)-(4*1*-24))} / (2*1)

w = {-10±√(100+96)} / 2

w = {-10±√196} / 2

w = {-10±14} / 2

only positive numbers:

w = {-10+14}/2

w = 4/2

w = 2m

a = w+10

a = 2 + 10

a = 12m

Check:

24 = 12*2

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4 years ago

Consider the line - 4x – 3y = 5.

Ann [662]

Answer:

The slope of the perpendicular line is 1/4

A line parallel to this will have the same gradient of -4.

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3 years ago

A magic square is a square array of numbers arranged so that the numbers in all rows, all columns, and the two diagonals have

ioda

Answer:

strategies used are : identifying a sub-goal and Guess and check

Step-by-step explanation:

To create a 3 by 3 magic square using nine of the ten numbers

20,21,22,22,23,24,25,26,27,28 and 29

In order to achieve a 3 by 3 magic square table we will pick Nine consecutive numbers out of the ten numbers given and apply the format below

n+1,n-4,n+3,n+2,n,n-2,n-3,n+4,n-1

we will take n = 24

attached below is the magic square

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4 years ago

A rectangle has an area of 18cm2 (squared). The lengths of the sides are whole numbers. How long could the sides of the rectangl

marishachu [46]

Answer:

9 cm, 2 cm

6 cm , 3 cm

Step-by-step explanation:

There are two possibilities of the lengths of the sides of rectangle

$18= 9\times 2\\18=6\times 3\\$

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3 years ago