Logarithm - practice problems - page 2 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 85
- Equation: 4386
Solve the power equation: 2.1463 = 0.4179x0.419 - Double of principal
How long will it take for the principal to double at 12.25% annual interest? - Exponential equation
Find x, if 625^x = 5 The equation is exponential because the unknown is in the exponential power of 625 - 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? - Expression 3887
Determine what z equals in the expression 169^z = 2 · 6.5 - Determine 4104
Determine the value of x in this equation: (0.125^x) · 104 = 5000 - GP sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? q =? - Car value
The car loses value by 15% every year. Determine a time (in years) when its price will halve. - 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. - The terms
The terms 1/64, 1/32, and 1/16 form a geometric progression (GP). If the sum of the GP is (2³6 – 2^-6), find the number of terms. - Percentage increase
What is the annual percentage increase in the city when the population has tripled in 20 years? - Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217. - Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is: - 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. - 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%? - Dice
How many times must you throw the dice, and the probability of throwing at least one six was greater than 90%? - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Interest 81982
The bank offers interest on the deposit of 4 percent per annum. In how many years will the deposit double?
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