Algebra 2 - Evaluating a logarithmic Function Using the One to One Property

The video tutorial explains how to solve a logarithmic problem by understanding the relationship between powers and radicals. It demonstrates the use of the one-to-one property to rewrite expressions with a common base, leading to the solution of the equation. The tutorial emphasizes careful consideration of powers and radicals to find the correct answer.

What is the initial problem discussed in the video regarding the number 9?

• Finding the square root of 9

• Determining the exponent to raise 9 to get 27

• Calculating the cube of 9

• Finding the logarithm of 9

Why is it necessary to consider a fractional or decimal exponent in the problem?

• Because 9 squared is 81, which is too large

• Because 9 is not a perfect square

• Because 9 cannot be expressed as a whole number power to get 27

• Because 9 to the first power is 9, which is too small

How can 27 be rewritten using a different base to simplify the problem?

• As 3 to the power of 2

• As 9 to the power of 3

• As 3 to the power of 3

• As 9 to the power of 1

What property allows us to equate the exponents when the bases are the same?

• The one-to-one property

• The associative property

• The commutative property

• The distributive property

What is the final solution to the equation 9 raised to what power equals 27?

• 2

• 1/2

• 2/3

• 3/2