Solving a simple logarithm

The video tutorial demonstrates how to solve a logarithmic equation by converting it into exponential form. The instructor explains the process of simplifying the expression using powers and roots, ultimately leading to the final solution. The tutorial emphasizes understanding the relationship between logarithms and exponents, providing a step-by-step approach to solving the equation without a calculator.

What is the first step in solving the equation log base X of 32 equals 5/2?

• Add 5/2 to both sides

• Take the square root of both sides

• Convert it to exponential form

• Multiply both sides by X

How can you simplify an expression with a fractional exponent like X to the 5/2?

• Divide by 5/2

• Raise both sides to the power of 2/5

• Subtract 2/5 from both sides

• Multiply by 2/5

What is the result of raising 32 to the power of 2/5?

• 4

• 8

• 2

• 16

How can 32 be rewritten to simplify the expression further?

• As 4 to the 3rd power

• As 8 to the 2nd power

• As 2 to the 4th power

• As 2 to the 5th power

What is the final value of X in the equation after simplification?

• 5

• 3

• 4

• 2