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Naya [18.7K]
3 years ago
12

What is log(21/x2) written in expanded form?

Mathematics
2 answers:
jonny [76]3 years ago
8 0

Answer:

log(21)-2log(x)

Step-by-step explanation:

The given logarithmic expression is log(\frac{21}{x^2} ).

Observe that the expression in the argument is a quotient.

We apply the quotient property. This property is given as follows:

log(\frac{A}{B})=log(A)-log(B).

When we apply this property, we obtain,

log(\frac{21}{x^2})=log(21)-log(x^2).


Recall that log_a(m^n)=n\:log_a(m).


We now apply this property to obtain,


log(\frac{21}{x^2})=log(21)-2log(x).


Therefore the correct answer is A


Elan Coil [88]3 years ago
3 0
2log10(2vx2) is the answer
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I need help please i’ll even give u a brainliest i just need the correct answer
Zanzabum

Answer:

A

Step-by-step explanation

4 0
3 years ago
Read 2 more answers
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number
andreyandreev [35.5K]

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0
3 years ago
Please help asap 25 pts
USPshnik [31]

The answer is C.

Just plug in x = 1 for each of them.  The correct one is the one that gives y = 5, which is C.

5 0
2 years ago
Please help me with math thanks
Korvikt [17]
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of  golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
 byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4
7 0
3 years ago
SHOW YOUR WORK!!!!!!!!!!!!!!!!!!!
Oduvanchick [21]

Answer:

My Answer: <u>33.95</u>

Step-by-step explanation:

x - 13.75 = 20.2

so because it is subtracting we have to add.

x - 13.75 + 13.75 = 20.2 + 13.75

when added, x will cancel out, and we will be left with the answer.

x = 33.95

GL!

-Oceaniii

3 0
3 years ago
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