Logarithm - practice problems - page 4 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 99
- Expression 3887
Determine what z equals in the expression 169^z = 2 · 6.5 - Expression 3801 What is the value of x in the expression 8^x = 1/64
- Exponential equation
Find x, if 625^x = 5 The equation is exponential because the unknown is in the exponential power of 625 - Precision 3390 The price of the device is reduced by one-fifth every year. How long before the price of the device drops to one-tenth of the price? Specify years and months with precision.
- The city 3
The city has 22,000 residents. How long is it expected to have 25,000 residents if the average annual population growth is 1.4%? - 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. - Insert into GP
Between numbers 5 and 640, insert as many numbers as necessary to form a geometric progression, so the sum of the numbers you entered will be 630. How many numbers must you insert? - 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 19, and the sum of their logarithms (base 10) is 1.6. Determine these numbers. - Seating rules
In a class, there are 28 seats, but in the 5.D class, there are only 24 students. How many ways can students sit? (The class has 14 benches. A bench is for a pair of students.) Result write down as powers of 10 - (logarithm - large number). - Population
The town has 55,000 inhabitants. 25 years ago, there were 85,000. 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 18x the input power.
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