Tutorial - Evaluate Logarithm with a Base 4 of 8 Without a Calculator

The video tutorial explains how to evaluate logarithms without a calculator by converting the logarithmic expression into an exponential equation. The instructor demonstrates the use of the one-to-one property and power rule to solve the equation, ultimately finding the value of the unknown variable. The process is broken down into clear steps, making it easy to follow and understand.

What is the main goal when evaluating a logarithm like log base four of eight?

• To find the base that gives eight when raised to a power

• To determine the power to which four must be raised to get eight

• To calculate the logarithm using a calculator

• To convert the logarithm into a fraction

How can you rewrite the expression log base four of eight in exponential form?

• X to the power of 4 equals 8

• 8 to the power of X equals 4

• 4 times X equals 8

• 4 to the power of X equals 8

What property is used to solve the equation 4 to the X equals 8 by rewriting it with the same base?

• One-to-One Property

• Associative Property

• Commutative Property

• Distributive Property

Which base is used to rewrite the equation 4 to the X equals 8 for easier solving?

• Base 10

• Base 5

• Base 2

• Base 3

What is the final solution for X when solving the equation 2 to the 2X equals 2 to the 3?

• X equals 1.5

• X equals 2

• X equals 3

• X equals 1