Exam 5: Exponential and Logarithmic Functions

Assume that log 3 = 0.4771 and log 4 = 0.6021.Determine the value of log .

Find x: ln x = -2

Write the following in terms of ln x,ln(x - 3),and ln(x + 1):

Find x and express your answer in terms of natural logarithms: - 3 = 8

Solve for x: (x + 7)- 3 2 = x

If log 4 = 0.6 and log 7 = 0.8,find 7.

Write (x + 4)in terms of common logarithms.

A trust fund is being set up by a single payment so that at the end of 5 years there will be $10,000 in the fund.If the interest rate is 3 % compounded quarterly,how much money should be paid initially into the trust fund?

Solve for x: ln x + ln 3 = ln(x + 1)

Suppose $20,000 is invested at 6.5% compounded annually. (a)Find the value of the investment after 5 years. (b)Find the value of the interest which was earned over the first 5 years.

Find x: logx = 0

The demand function for a product is p = 45 where q is the number of units and p is the price of one unit.At what price will the demand be 5 units? How many units will be demanded if the price is $12.42?

Express 1 + ln x as a single logarithm.

Find x: 16 = 4

Find x: (6 - 4x - )= 2

Solve for x: log x = log 3 + 2 log 4

Graph the population for a city with 80,000 people as a function of years if the growth is modeled by

Express = 81 in logarithmic form.

Graph y = f(x)= x.

Find the equations of the graph that is obtained from the graph of y = shifted (a)3 units down; (b)3 units to the right.