6. Exponential & Logarithmic Functions

Solve each problem. Use a calculator to find an approximation for each logarithm. log 3.984

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator.log2 (96) - log2 (3)

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln e^1.6

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 1/e^2

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator.log x + 3 log y

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln √e

In Exercises 50–53, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log4 (√x/64)

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator.(1/2)ln x + ln y

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 28

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator.2 logb x + 3 logb y

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 0.00013

In Exercises 50–53, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ln ∛(x/e)

Graph each function. ƒ(x) = log￬3 (x-1) + 2

In Exercises 54–57, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. log 3 - 3 log x

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator.5 ln x - 2 ln y