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
Margarita [4]
2 years ago
7

3√7 please help I dont understand

Mathematics
1 answer:
UNO [17]2 years ago
8 0
What is log675 with base 5 × log 3 with base 3?
We have to calculate (log 675 to the base 5) × (log 3 to the base 3)

Note the following important points :

(1.) log 675 to the base 5

=> log 675 to the base ‘e’ / log 5 to the base ‘e’

=> ln 675 / ln 5

Since 675 = 5^2 × 3^3

=> ln 675 = ln [5^2 × 3^3]

=> ln (5^2) + ln (3^3)

=> 2 ln 5 + 3 ln 3

Hence, log 675 to the base 5

= ln 675 / ln 5

= [2ln 5 + 3ln 3] / ln 5

(2.) Similarly, log 3 to the base 3

=> Since the logarithm of any natural number 'x' to the base of same number 'x' is always 1 (since any natural number raised to the power '1′ is equal to the same number) ,

Thus, (log 3 to the base 3) = 1

Hence, our problem reduces to:

(log 675 to the base 5) × (log 3 to the base 3)

=> [(2ln 5 + 3ln 3) / ln 5] × (1)

=> (2ln 5 + 3ln 3) / ln 5

=> So we only require the values of natural logarithm of 3 and 5 :)

We should remember these values, or we can always use log table.

Since ln 3 = 1.098

and ln 5 = 1.609

=> 2ln 5 = 2(1.609) = 3.218

=> 3ln 3 = 3(1.098) = 3.294

Hence,

solution : (3.218 + 3.294) / 1.609

=> 6.512 / 1.609

=> 4.047

GLAD TO HELP YOU ;))
You might be interested in
What is the transformation shown?
natta225 [31]
5 units left and 1 unit up
4 0
3 years ago
Sandy has 28 pencils and 72 erasers. She wants to make the greatest number of bags that have the same number of pencils and eras
aalyn [17]

Answer:

she can make a maximum of 4 bags.

peach bags containing 7 pencils and 18 erasers.

Step-by-step explanation:

find all the factors each numbers are divisible by:

28 => 1, 2, 4, 7, 14, 28

72 => 1, 2, 3, 4, 8, 9, 18, 24, 36, 72

choose the maximum common denominator.

7 0
3 years ago
Read 2 more answers
Express answer in exact form.
Fiesta28 [93]
A chord and a radius form an equilateral triangle.
The area of the larger segment is:
A = 5/6 r² π + r²√3/2 = 5/6 · 64 · 3.14 + 32 · 1.73 =
= 167.47 + 55.36 = 222.83 in²
3 0
3 years ago
The table below shows the amounts of cherry juice and soda used in each container of cherry soda. The ratio of cherry juice to s
lana66690 [7]
It would be 4!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!                                             
8 0
3 years ago
Read 2 more answers
At Davis you can buy 12 pounds of M&M's for $12.24 or 8 pounds for $8.24 at Smith's. Which is the better buy
Law Incorporation [45]

Answer:

12 pounds

Explanation:

If you were to divide 12.24 from 12 you would get 1.02, which would be the cost of each pound.

Meanwhile, if you were to divide 8.24 from 8 you would get 1.03, which would be the cost of each pound.

So although its only a 1 cent difference and you are technically spending more by buying the 12 pounds, if it were to buy 8 pounds from the cost of each pound for the 12 pounds, you'd only be spending $8.16 vs $8.24.

Because you would multiply 1.02, which is the cost of each pound for 12, by 8 and you would get 8.16.

4 0
2 years ago
Other questions:
  • Carlson city and mason city are 15 miles apart. if you leave carlson city and drive at 45 miles per hour, how long does it take
    8·1 answer
  • Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for and exam. The data sets
    5·1 answer
  • What does the y mean in y=mx+c
    5·1 answer
  • If 5+5 = 10 What does 15+5 equal?
    8·2 answers
  • What is the missing Angel
    9·2 answers
  • Geometry help please!!
    14·1 answer
  • Which equation represents the standard form of the equation y = (x + 3)2 - 4?
    10·1 answer
  • 10
    5·1 answer
  • A map of a park has a scalar of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map
    11·1 answer
  • A fuelling vehicle finished filling a plane with 12.40 tons of fuelat 10:35. If the fuelling rate is 0.20 ton of fuel per min, a
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!