Solving a logarithim, log81 (x) = 3/4

The video tutorial explains how to solve for X using logarithms. It begins with an introduction to the concept of logarithms, using the example of log base three of 9 equals 2, and explains how this relates to exponents. The tutorial then demonstrates solving the expression 81 to the 3/4 power by rewriting it in terms of exponents and using the power rule. The process involves rewriting 81 as 3 to the 4th power and applying the power of a power rule to find that X equals 27.

What does the logarithm log base three of 9 equal, and how can you remember this?

Describe the steps taken to solve for X in the equation involving logarithms and exponents.

How can you rewrite the equation 81 to the 3/4 = X in terms of base 3?

Explain the power rule of exponents as applied in the solution to the equation.

What is the final value of X when solving the equation 81 to the 3/4?