How to rewrite a logarithm using the change of base formula, log9 (64)

The video tutorial explains why 9 cannot be raised to a power to yield 64, introducing the change of base formula as a solution. It demonstrates using both common and natural logarithms to solve the problem, emphasizing the necessity of a calculator for such calculations. The tutorial concludes by affirming the correctness of using the natural log in this context.

Why is it impossible to raise 9 to a power to get 64?

• Because 9 is not a power of 2

• Because 64 is a power of 4

• Because 9 is an odd number

• Because 64 is a perfect square

What is the purpose of the change of base formula?

• To simplify complex logarithmic expressions

• To evaluate logarithms using a calculator

• To find the base of a logarithm

• To convert logarithms to exponential form

Which of the following is a correct application of the change of base formula?

• log(64) / log(9)

• log(9) / log(64)

• log(64) * log(9)

• log(9) + log(64)

What alternative to common logarithms can be used in the change of base formula?

• Binary logarithms

• Natural logarithms

• Complex logarithms

• Decimal logarithms

Why might someone choose to use natural logarithms in calculations?

• They are preferred in scientific calculations

• They simplify the change of base formula

• They are more accurate

• They are easier to compute manually