6. Exponential & Logarithmic Functions

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)

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518/342

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 387 + log 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.log4 (√x/64)

In Exercises 21–42, evaluate each expression without using a calculator. log3 27

Solve each equation. x = 3^log3 8

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.log6 (36/(√(x+1))

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518 - log 342

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)/z^2)