Logarithmic and Exponential Equations

This video tutorial covers exercises on logarithms, starting with basic examples using base 2 and base 5. It explains how to solve logarithmic equations by equating bases and converting them into exponential equations. The tutorial also addresses more complex problems involving roots and provides step-by-step solutions to help viewers understand the concepts thoroughly.

What is the value of log base 2 of 8?

• 4

• 3

• 2

• 5

What is the value of log base 2 of 8?

• 4

• 5

• 3

• 2

If 4 raised to the power of x equals 8, what is the value of x?

• 1.5

• 2.5

• 2

• 1

If 4 raised to the power of x equals 8, what is the value of x?

• 2.5

• 2

• 1.5

• 1

What is the value of log base 5 of 5?

• 1

• 0

• 5

• 2

If 0.2 raised to the power of x equals 25, what is the value of x?

• 2

• -1

• -2

• 1

What is the value of log base 2 of the square root of 2?

• 0.5

• 1

• 2

• 1.5

If 2 raised to the power of x equals the square root of 2, what is the value of x?

• 0.5

• 1

• 1.5

• 2

What is the value of log base 2 of the cube root of 4?

• 1/3

• 2/3

• 3/2

• 2

If 2 raised to the power of x/3 equals 2 raised to the power of -3/2, what is the value of x?

• -4

• -3

• -2

• -1