Exponents and Logarithmic Functions

The video tutorial covers the use of base 2 log tables to approximate exponential expressions, explains how to interpret and evaluate logarithmic expressions, and explores the relationship between logarithmic and exponential forms. It discusses exponential growth and decay, including calculating growth rates and half-life. Techniques for finding missing exponents are demonstrated, and the relationship between different forms of logarithmic equations is explained.

What is the value of 2 to the power of 5 according to the base 2 log table?

• 128

• 16

• 32

• 64

If 2 to the power of 3.7 equals 13, what does 2 to the power of 4.25 equal?

• 15

• 17

• 19

• 21

What is the exponent when 2 is raised to give the value 35?

• 5.5

• 5.13

• 5.75

• 5.25

How would you verbally express the logarithmic expression log base 2 of 64?

• What power of 64 gives 2?

• What is the base 2 log of 64?

• Two to what power equals 64?

• What is the square root of 64?

What is the value of log base 10 of 100?

• 4

• 3

• 2

• 1

What is the value of log base 100 of 10?

• 1.5

• 1

• 0.5

• 2

If b = a^2, how can a be expressed as a power of b?

• a = b^(1/12)

• a = b^12

• a = b^2

• a = b^(1/2)

To increase an investment by a factor of five in 20 years, what annual growth rate is needed?

• 10%

• 8%

• 12%

• 5%

What is the approximate half-life of a chemical if its initial value is 800 and it decays to 400?

• 1 week

• 2.5 weeks

• 1.5 weeks

• 2 weeks

What exponent is needed for 10 to equal 100?

• 1

• 3

• 4

• 2