Word Problem Exercises: Solving Exponential Growth and Decay Questions Using Logarithms

The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the number of years it takes for the population to grow to 42,500.

The population in the town of Deersburgh is presently 42,500. The town has been growing at a steady rate of 2.7%. Find the number of years ago that the population was 30,000.

$1,200 is invested at an annual rate of 3.2%. Find the number of years it will take for the account balance to be $1,480.

The value of a stock when purchased was $10 a share. The stock grew at a monthly rate of 7%. Find the number of months it took to reach a value of $15.75 a share.

The value of a stock when purchased is $10 a share. The stock decreased at a rate of 3% daily. Find the number of days it took for the stock to be worth $7.40.