Understanding Logarithmic and Exponential Forms

This video tutorial focuses on converting logarithmic expressions into exponential equations and vice versa. It begins with an introduction to the concept, followed by a generic equation for conversion. The tutorial provides examples and practice exercises for converting logarithmic expressions to exponential form. It then covers the reverse process, converting exponential equations to logarithmic form, with detailed examples and explanations.

What is the exponential form of log base 3 of 9 equals 2?

• 9^3 = 2

• 3^9 = 2

• 2^3 = 9

• 3^2 = 9

If log base a of b equals c, what is the equivalent exponential form?

• c^a = b

• b^c = a

• a^b = c

• a^c = b

Convert log base 4 of 64 equals 3 into exponential form.

• 64^4 = 3

• 3^4 = 64

• 4^64 = 3

• 4^3 = 64

What is the logarithmic form of 2^3 = 8?

• log base 2 of 8 equals 3

• log base 8 of 2 equals 3

• log base 2 of 3 equals 8

• log base 3 of 2 equals 8

Convert 4^2 = 16 into logarithmic form.

• log base 4 of 16 equals 2

• log base 16 of 4 equals 2

• log base 2 of 16 equals 4

• log base 4 of 2 equals 16

What is the exponential form of log base 5 of 125 equals 3?

• 3^5 = 125

• 125^5 = 3

• 5^125 = 3

• 5^3 = 125

Convert 8^2 = 64 into logarithmic form.

• log base 8 of 64 equals 2

• log base 2 of 64 equals 8

• log base 8 of 2 equals 64

• log base 64 of 8 equals 2

What is the logarithmic form of 3^2 = 9?

• log base 3 of 9 equals 2

• log base 3 of 2 equals 9

• log base 2 of 9 equals 3

• log base 9 of 3 equals 2

Convert 5^3 = 125 into logarithmic form.

• log base 5 of 125 equals 3

• log base 125 of 5 equals 3

• log base 5 of 3 equals 125

• log base 3 of 125 equals 5

What is the exponential form of log base 2 of 8 equals 3?

• 8^2 = 3

• 2^3 = 8

• 2^8 = 3

• 3^2 = 8