Logarithm - practice problems - page 4 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 93
- To the cinema
Jane at 8 AM got a message that all 1093 school pupils would go to the cinema. Within 20 min she said it to the three friends. Each of them again for 20 minutes said to the other three. In this way, the message spread further. At what time do all the scho - Car value
The car loses value by 15% every year. Determine a time (in years) when its price will halve. - Half life
Determine the half-life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes. - Geometric sequence
In the geometric sequence, is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q.
- Lion or virgin
We toss the coin, and every throw fits a lion or a virgin with an equal probability of 1/2. Determine how much we have to make throws that, with the probability of 0.9, lions fell at least once. - Sum-log
The sum of two numbers is 32, and the sum of their logarithms (base 10) is 2.2. Determine these numbers. - Seating rules
In a class, there are 24 seats, but in the 7.B class, there are only 18 students. How many ways can students sit? (The class has 12 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10. - Population
The town has 159,000 inhabitants. 25 years ago, there were 158,000. If the population's average rate is the same as in previous years, how many people will live in a city in 10 years? - Log
Calculate the value of expression log |-10 -2i +7i²| .
- Future of libraries
You know that thanks to the Internet, electronic communications, and the development of online resources, the number of traditional readers annually declines by 17%. This is the irreversible evolutionary shift from old books from libraries to immediately - Geometric sequence 3
In geometric sequence is a4 = 40; a9= 1280; sn=2555. Calculate the first item a1, quotient q, and n - number of members by their sum s_n. - Chebyshev formula
To estimate the number of primes less than x Chebyshev formula is used: Pi(x) = 1.11 (x)/(ln x). Estimate the number of primes less than 30300537. - Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is: - Gain
Find the gain whenever the output power is 21x the input power.
- Decibel
A circuit has an input power of 73 mW. Its output power is 18 mW. What is the loss in decibels? - Coordinate
Determine the unknown coordinate of the point M [x, 54] of the graph of the function f by rule: y = 3x - Triangle
Can an equilateral triangle have a right angle? - Log
If log4 x+ log8 x = log_b x, what is b? - Crystal
The crystal grows every month at 1.2 permille of its mass. How many months does it take to develop from weight 177 g to 384 g?
Calculate what member of the sequence specified by (5n-2+15) has value 20.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
