Rewrite a exponential equation in logarithmic

The video tutorial explains how to convert between logarithmic and exponential forms using an example problem. It emphasizes identifying the base, exponent, and result in equations, particularly when dealing with fractions. The teacher demonstrates the process of applying these concepts to solve a specific problem, highlighting the importance of understanding the relationship between logarithms and exponents. The lesson concludes with expectations for students to practice similar problems.

What is the base in the expression 1/64 = (1/4)^3?

• 1/64

• 3

• 64

• 1/4

How can you express the equation B^Y = X in logarithmic form?

• Y = log base X of B

• X = log base B of Y

• Y = log base B of X

• B = log base Y of X

In the equation Y = log base B of X, what does Y represent?

• The result

• The base

• The logarithm

• The exponent

What is the result when you convert the expression (1/4)^3 into logarithmic form?

• 1/4 = log base 3 of 1/64

• 1/64 = log base 3 of 1/4

• 3 = log base 1/4 of 1/64

• 3 = log base 1/64 of 1/4

Which of the following is true about the base in logarithmic and exponential forms?

• The base in exponential form is always 2.

• The base in logarithmic form is always 10.

• The base in exponential form is the same as the base in logarithmic form.

• The base in exponential form is different from the base in logarithmic form.