Rewriting an equation in exponential form to logarithmic form with fractions

The video tutorial explains how to convert exponential expressions into logarithmic form, focusing on the relationship between bases and exponents. It begins with a simple example of 3^2 = 9 and demonstrates how to express this in logarithmic form. The tutorial then introduces the concept of fractional bases, using 1/3 raised to the second power to equal 1/9 as an example. The video concludes with a brief mention of further evaluation of these concepts.

How can you express the equation 3^2 = 9 in logarithmic form?

• log3(2) = 9

• log2(9) = 3

• log9(3) = 2

• log3(9) = 2

What is the base of the logarithm in the expression log3(9) = 2?

• 9

• 1

• 3

• 2

If 1/3 is raised to the second power, what is the result?

• 1/3

• 1/9

• 1/6

• 1/2

How would you express 1/3 raised to the second power in logarithmic form?

• log1/3(1/9) = 2

• log1/3(2) = 1/9

• log1/9(1/3) = 2

• log2(1/3) = 1/9

What is the base in the expression 1/3 raised to the second power equals 1/9?

• 1/9

• 1/3

• 3

• 2