Exam 5: Logarithmic Functions

Rewriting the statement using exponents gives

The following table gives v as a linear function of w. If

If the equation is converted to the form , then a = _____ and k = _____. Give k to 4 decimal places.

The following table gives v as a linear function of w. If and , find a formula for y in terms of x.

Solve for t:

Let and . What is ?

Solve using logs. Give your answer to 3 decimal places.

A certain country is experiencing deflation and prices are falling by 2.8% each month. If a certain item currently costs $38, how much will the item cost in a year?

What is the hydrogen ion concentration [H⁺] for a substance with a pH of 4.3?

Rewriting using logs gives

An earthquake measured 5.1 on the Richter scale. How many times more powerful were the seismic waves than standard seismic waves?

The half-life of a substance is 36 hours. If there are initially 100 grams of the substance, write a formula to determine the amount Q remaining after t hours.

Solve for . Give your answer to 4 decimal places.

Find the domain and asymptotes of the function

If you wished to graph the number of moons of each planet in the solar system on a standard sheet of paper, would you use a standard or a logarithmic scale?

The following table gives v as a linear function of w. If and , find a formula for y in terms of x.

The doubling time for a bank account that is growing by 3.1% per year (compounded continually) is _____ years. Round 1 decimal place.

Suppose a certain population decreases by one third every 7 years. If the population is initially 19,000, what is the size of the population after 10 years? Round your answer to the nearest whole number.

Does ?

Find a possible formula for the following graph using either logarithms or exponentials.