Logarithms - practice problems - page 3 of 4
Directions: Provide a careful solution to each problem, showing all steps in your work.Number of problems found: 62
- Pilsen circus
A city citizen saw the circus's arrival in Pilsen in the morning at 08:00. He passed this information at 08:15 to three other city residents. Each of these three people then informed the other three residents at 08:30, and again at 08:45, they reported th - Kocour coin values
In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats’ crowns accurately and without return. However, we - Water Lilies Doubling Days
Water lilies grow on the pond, and their number doubles every day. We will cover the whole level in 12 days. In how many days will one-eighth of the surface be covered? - Water lilies Water lilies are growing on the pond, and their number doubles every day. If the whole layer is covered in 12 days, how many days will it take to cover one-eighth of the pond?
- Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30 - Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6 cm by 4 cm be enlarged to fit on a 30 cm by 20 cm page? - Population growth
The population is 22000 people. With an annual increase of 1.4%, there will be 25,000 people. How many years will it be? - Probability — test
A test contains questions with four answer options, exactly one of which is correct. To pass the exam successfully, at least half of the questions must be answered correctly. How many questions should the test contain so that the probability of a student - Equation value Determine the value of x in this equation: (0.125^x) · 104 = 5000
- 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 - 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? - 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. - 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. - Decibel
A circuit has an input power of 73 mW. Its output power is 18 mW. What is the loss in decibels? - Triangle
Can an equilateral triangle have a right angle? - Compound interest
Calculate the time it takes for a bank deposit earning 2.6% p.a. interest to double. - Triangle SSS
Calculate the perimeter and area of triangle ABC if a = 45, b = 30, and c = 50.
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