1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kykrilka [37]
3 years ago
9

Use the property of logarithms to evaluate the expression. No decimals.

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

If you want to solve for x, then the answer is x = 6*sqrt(2) where "sqrt" is shorthand for "square root"

Explanation:

All logs below are base 4

log(5) - log(18) = log(20) - 2*log(x)

log(5) - log(18) = log(20) - log(x^2)

log(5/18) = log(20/x^2)

5/18 = 20/x^2 ... raise both sides as exponents (base = 4); logs cancel

5x^2 = 18*20 ... cross multiply

5x^2 = 360

x^2 = 360/5 ... divide both sides by 5

x^2 = 72

x = sqrt(72) ... see note below.

x = sqrt(36*2)

x = sqrt(36)*sqrt(2)

x = 6*sqrt(2)

note: we only consider the positive solution for x because x cannot be negative. We cannot input negative x values into log(x). The domain of log(x) is x > 0. So we don't consider "plus/minus" for the square root.

You might be interested in
Select the correct answers (there are more than one that are correct)​
Liono4ka [1.6K]

Answer:

its really good luck for you know what is not my phone

4 0
3 years ago
Look at the table. Make a conjecture about the sum of the first 10 positive even numbers.
inysia [295]
The answer is 10•11, if you look at the pattern, you don't have to solve the addition.

6 0
3 years ago
Read 2 more answers
As a reward Leo will get an additional 25% added to his regular allowance. If the reward is $5.00, what is his regular allowance
I am Lyosha [343]
#1: $6.25
5.00 + 25%

#2: $3.75
5.00 - 25%
8 0
2 years ago
What is the perimeter of the rectangle? Write your answer in scientific notation. The area is 2.76 x 10 pw12
MrRa [10]
We know that
area of a rectangle=length*width
length=area/width
area=2.76 x 10^12 units²<span>
width=4.6 x 10</span><span>^5 units
</span>length=2.76 x 10^12/4.6 x 10^5 ------> 6 x 10^6 units

perimeter of a rectangle=2*[length+width]
width=4.6 x 10^5 units----> is equal to 0.46 x 10^6 units
length=6 x 10^6 units

perimeter of a rectangle=2*[6x10^6+0.46x10^6]----> 12.92 x 10^6 units

the answer is
12.92 x 10^6 units

5 0
3 years ago
What is the Lmc of 48 and 16
love history [14]
The least common multiple is 96
5 0
3 years ago
Other questions:
  • What is does 5x20=<br> and how do you answer it <br> please help me
    5·2 answers
  • Is 3/4 greater than, less than, or equal to 3/8
    10·2 answers
  • (Car Sales) Of the cars sold during the month of July, 88 had air conditioning, 96 had automatic transmission, and 76 had power
    14·2 answers
  • The following data comparing wait times at two rides at Disney are listed below: Position Pirates Splash Mountain Sample Size 32
    7·1 answer
  • If a line goes through points (-2, 9) and (0, 3), what is its slope?<br><br> 3<br> -3<br> 6<br> -1/3
    13·1 answer
  • Which of the following is a monomial <br><br>A. 5x^2+2x+3<br>B. √x-1<br>C. 4x<br>D. 3/x​
    10·1 answer
  • Find the degree of the monomial 3x4y3​
    14·1 answer
  • Pls help me with this!
    13·1 answer
  • G= {(-5,5), (6, 8), (-5, -5)}<br> What is the domain and range
    12·1 answer
  • (03.01 MC) The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!