Logarithm - practice problems - page 3 of 5

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 99

Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double?
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
Sufficient 9391
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
An investment
How long will it take for an investment to double at a simple interest rate of 5.10% per annum? Express the answer in years and months, rounded up to the next month.
Exponential 8360
Solve the exponential equation: 8 raised to x = 40
Powers 3
2 to the power of n divided by 4 to the power of -3 equals 4. What is the value of n?
Microorganisms
The first generation of microorganisms has a population of 13500 members. Each subsequent generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation.
Intercept with axis
F(x)=log(x+4)-2, what is the x intercept
Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
One-eighth 6206
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 eight layers?
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
Exponentially 6065
The intensity of daylight penetrating seawater decreases exponentially depending on its depth. At a depth of 6m, it is reduced by half. The underwater camera needs at least 75% of the daylight intensity for recording. To what depth can we use it under thi
Interest 6047
Mr. Demikát took out a loan worth 5,000 euros from the bank with an interest rate of 12 percent. How many months will it repay if the monthly payment is 80 euros?
Exponential equation
Solve for x: (4^x):0,5=2/64.
Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page?
Population 4485
The population is 22000 people. With an annual increase of 1.4%, there will be 25,000 people. How many years will it be?
Equation: 4386
Solve the power equation: 2.1463 = 0.4179x^0.419
Determine 4104
Determine the value of x in this equation: (0.125^x) · 10⁴ = 5000
Expression: 4085
Determine the x and y values in the expression: x! · 10^y = 0.0504.

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