# Logarithm - practice problems - page 4 of 5

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 86

- 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 are 24 seats but in the 7.B class 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. How many people will live in a city in 10 years if the population's average rate is as in previous years? - Log

Calculate the value of expression log |-7 -i +i²| .

- Future of libraries

You know that thanks to the Internet, electronic communications and the development of online resources on the Internet annually decline, the number of traditional readership by 17%. This deal is the irreversible evolutionary shift from old books from lib - Geometric sequence 3

In geometric sequence is a_{8}= 312500; a_{11}= 39062500; s_{n}=1953124. Calculate the first item a_{1}, 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 92 mW. Its output power is 12 mW. What is the loss in decibels? - Coordinate

Determine the missing coordinate of the point M [x, 11] of the graph of the function f by rule: y = 3^{x} - Triangle

Can an equilateral triangle have a right angle? - Log

If log_{4}x+ log_{8}x = log_b x, what is b? - Crystal

The crystal grows every month 1.2 permille of its mass. How many months to develop a crystal from weight 177 g to 384 g?

- Sequence

Calculate what member of the sequence specified by (5^{n-2}+15) has value 20. - Exponential equation

In the set R, solve the equation: 7^{ -5 +19x}=4^{ 3 -20x} - Logarithm

Determine the number whose decimal logarithm is -3.8. - Demographics

The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population? - Compound interest

Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles.

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