# Logarithm - practice problems

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

- Compound interest

Joel borrowed $3208.5 on November 2, 2021, at 3.6% p.a. How many days would it take for him to repay the loan if he made a payment of $ 3,720.34? Round up to the nearest day. - Years 3

How long will it take for a given sum of money to triple itself at 20% annual compound interest? - Geometric series

How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity? - Decadic logarithm

Log10 30 - log10 3 = X. Find X . - Deposited 83235

A student deposited €500 in a savings bank at 2.5% interest. In what time (in years) will he earn as much interest as he invested? - Millimeters 82983

Determine what thickness of the shielding material will be required if we reduce the radiation to 3% of the original value if we know that a thickness of 6 mm will reduce the level of the same radiation by 9%. Round up to the whole value in millimeters (t - Robinson 82579

Robinson Crusoe came to the island with 4 grains of corn. How many years did it take him to grow enough grain for bread if he got 10 grains from one grain on average and he needed at least 1kg of bole for 1 bread, and 1 grain weighs about 0.2g? (assume on - Written 81992

8% of the price of the machine is written off every year. In how many years will the price drop from 250,000 to 150,000? - Interest 81982

The bank offers interest on the deposit of 4 percent per annum. In how many years will the deposit double? - Calculate 81860

The two terms of the geometric sequence are a2=12 and a5=three halves. a) calculate the tenth term of the sequence. b) calculate the sum of the first 8 terms of the sequence. v) how many first terms of the sequence need to be added so that the sum is equa - 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. - Surroundings 74114

In a cylinder with a piston, there is nitrogen N2 with a volume of 5 liters, a temperature of 25 degrees Celsius, and a pressure of 200 kPa. We very slowly compress the gas in the cylinder to half its volume while its temperature does not change. Determin - Simplify logarithm expr

Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q) - Principal 67954

How long in months will the principal raise 5,000 euros at 5% p.. a. interest 350 euros? - MP3 player

Mary plans to buy a new MP3 player for 90 USD. And every month, the amount he saved in the previous month doubles. If she saves 3 USD in the first month, how many months will Mary save enough to buy an MP3 player? - Deposit and saving

How long will the deposit of € 2,000 increase at an interest rate of 4.6% p. a. at 2500 €? (Ideally, calculate without logarithms) - Double of principal

How long will it take for the principal to double at 12.25% annual interest? - GP sequence

Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? q =? - Finite geometric sequence

Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =? - Poisson distribution - daisies

The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow.

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