Logarithm - practice problems - last page

Number of problems found: 98

Coordinate
Determine the unknown coordinate of the point M [x, 54] of the graph of the function f by rule: y = 3^x
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?
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.
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): 2^3x-6=9
Big factorial
How many zeros end number 324!?
Insurance
The house owner is insured against natural disasters and pays 0.05% annually of the value of the house 88 Eur. Calculate the value of the house. Calculate the probability of disaster if you know that 50% of the insurance is to pay damages.
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
Reconstruction of the corridor
Calculate how many minutes will be reduced to travel a 213 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time if we consider that the train must stop at 6 stations. Ea
Dice
How many times must you throw the dice, and was the probability of throwing at least one pětky greater than 70%?
When will I be a millionaire?
Barry monthly sends 280 euros to the bank, which he deposits bear interest of 2.1% p. A. Calculate how many months Barry must save to save 1000000 euros. Inflation, interest rate changes, or bank failures are ignored.

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