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

Answer each of the following. Write log_3 12 in terms of natural logarithms using the change-of-base theorem.

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.log7 (7/x)

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)

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.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