Logarithm - high school - practice problems - last page
Number of problems found: 80
- 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 a8 = 312500; a11= 39062500; sn=1953124. 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 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 = 3x - Log
If log4 x+ log8 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 (5n-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.
- Radioactivity
After 548 hours decreases, the activity of a radioactive substance to 1/9 of the initial value. What is the half-life of the substance? - Exponential equation
Solve exponential equation (in real numbers): 23x-6=9 - Computer revolution
When we started playing with computers, the first processor, which I remember was the Intel 8080 from 1974, with the performance of 0.5 MIPS. Calculate how much percent of a year rose CPU performance when Intel 486DX from 1992 has 54 MIPS. What would - Logarithmic equation
Solve equation: log13(7x + 12) = 0 - Dice
How many times must you throw the dice, and the probability of throwing at least one päťky was greater than 50%?
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