Cool question Tigh is actually number 16 D is the fifthone you can also use brainly.com if he needs more help
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 ;))
24. C
25. D
I honestly don't know.
Answer:
2√61/19
Step-by-step explanation:
sin^2 x = 1 - cos^2 x
= 1 - (3√13/ 19)^2
= 1 - 117/361
= 244/361
sin x = √244/19
= 2√61/19.
The Cost of operating the theater if there are 100 people at a show is 20,000Rs.
The theater is a place where the movies are shown on big screens and Speakers are used for the clear audio of the movie.
In a theater, there will be 3 to 4 shows for a movie or a different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
<h3>What is the meaning of cost?</h3>
The average cost of a college education has gone up dramatically.
Consider a ticket cost of 200rs.
For 100 people in a show,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating a theater if there are 100 people at a show is 20,000Rs.
To learn more about the cost visit:
brainly.com/question/1153322