6. Exponential & Logarithmic Functions

Answer each of the following. Between what two consecutive integers must log_2 12 lie?

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log(x/100)

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 10^12

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log4 (64/y)

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.ln(e^2/5)

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 0.1

In Exercises 13–15, write each equation in its equivalent exponential form. log3 81 = y

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb x^3

Find each value. If applicable, give an approximation to four decimal places. See Example 1. . log 63

If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. log￬√3 81 = 8

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 0.0022

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log N^(-6)

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.ln 5√x (fifth root of)

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log(387 * 23)

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb (x^2 y)