Logarithmic Functions and Properties

Adele Kumar presents a tutorial on logarithms, focusing on practice questions relevant to SAT level 2 and other competitive exams. The video covers basic to advanced logarithm problems, emphasizing the change of base formula and solving without a calculator. The tutorial includes step-by-step solutions and alternative methods for understanding logarithmic concepts.

What is the main focus of the logarithms practice test introduced by Adele Kumar?

• To teach students about trigonometry

• To benefit students taking SAT level 2 and other competitive exams

• To help students understand calculus

• To prepare students for SAT level 1

How should the first two questions on logarithmic expressions be solved?

• With a logarithm table

• Using a graphing tool

• Without a calculator

• Using a calculator

What is the result of evaluating log 2 plus log 50?

• 4

• 3

• 5

• 2

In question 3, what is the exponential form of log to the base 3 of a equals 2k?

• a = k^3

• a = 3^2k

• a = 2^3k

• a = 3^k

What is the correct expression for log to the base a of a B square?

• log to the base a of a + log to the base a of B square

• 2 log to the base a of a + log to the base a of B

• log to the base a of a + log to the base a of B

• log to the base a of a + 2 log to the base a of B

What is the change of base formula for log to the base a of B?

• log to the base C of B divided by log to the base C of a

• log to the base a of C divided by log to the base B of C

• log to the base B of C divided by log to the base a of C

• log to the base C of a divided by log to the base C of B

If log to the base a of B is K, what is log to the base B of a?

• K

• 1/K

• K^2

• K/2

How is a related to B if log to the base 3 of a is K and log to the base 3 of B is 2K?

• a = B^3

• a = B^2

• a = B/2

• a = sqrt(B)

What is the relationship between a and B if log to the base 3 of a equals log to the base 9 of B?

• a = B^2

• a = sqrt(B)

• a = B^3

• a = B/2

In question 9, what is the solution for X if log to the base 9 of X minus 6 equals log to the base 3 of X minus 8?

• X = 7

• X = 8

• X = 9

• X = 10