Algebra 2 - Solving a Logarithm with a Rational Value

The video tutorial covers the process of solving logarithmic equations by converting them into exponential form. It begins with an introduction to logarithms and equality properties, followed by a demonstration of how to convert logarithmic equations to exponential form. The tutorial then explains how to evaluate and simplify exponential expressions using power rules. Finally, it concludes with a summary of the methods discussed for solving logarithmic problems.

What is the relationship between exponential and logarithmic forms?

• X = b^Y is the same as log base Y of B = X

• X = b^Y is the same as log base B of X = Y

• X = b^Y is the same as log base X of B = Y

• X = b^Y is the same as log base B of Y = X

How can 36 raised to the three halves power be expressed?

• As the square root of 36 squared

• As the fourth root of 36 cubed

• As the square of the cube root of 36

• As the cube of the square root of 36

What is the simplified form of 36 when rewritten to solve the equation?

• 6^3

• 6^2

• 12^2

• 18^2

What is the result of applying the power of power rule to 6 squared raised to the three halves?

• 6^2

• 6^4

• 6^5

• 6^3

What is the final value of X in the equation 36 raised to the three halves?

• 216

• 36

• 72

• 144