Algebra 2 - How to Evaluate for an Logarithm when the Answer is a Fraction

The video tutorial explains the concept of logarithms by converting them into exponential form. It uses real number examples to demonstrate how to solve logarithmic equations. The tutorial further explores solving equations by converting bases and applying power rules, ultimately finding the solution to a given logarithmic problem.

What is the logarithmic form of the equation 5^2 = 25?

• log base 25 of 5 = 2

• log base 2 of 5 = 25

• log base 5 of 25 = 2

• log base 5 of 2 = 25

In the problem 8 raised to what power equals 4, what is the first step to solve it?

• Directly divide 8 by 4

• Convert 8 and 4 to the same base

• Guess the power

• Use a calculator to find the power

Why is it important to rewrite numbers with the same base when solving exponential equations?

• It makes the numbers easier to add

• It allows for direct comparison of exponents

• It simplifies the multiplication process

• It helps in finding the square root

What is the result of applying the power rule to the equation 2^3y = 2^2?

• y = 3/2

• 3y = 2

• 3y = 6

• y = 2/3

What is the final solution to the problem of finding the power to which 8 must be raised to equal 4?

• 1/3

• 1/2

• 2/3

• 3/2