Understand evaluate logarithms with a fraction

This video tutorial explains how to handle logarithms involving fractions. It covers rewriting logarithms as exponential equations, applying the one-to-one property, and using the change of base formula. The tutorial aims to help students overcome difficulties with fractions in logarithmic problems by providing clear strategies and examples.

What is the first step suggested to simplify understanding a logarithm involving fractions?

• Convert the fraction to a decimal

• Ignore the fraction and focus on the logarithm

• Use a calculator to find the value

• Rewrite the logarithm as an exponential equation

What is the one-to-one property used for in solving logarithmic equations?

• To equate the bases of the logarithms

• To convert logarithms to fractions

• To simplify fractions in the equation

• To find the exact value of the logarithm

How can you rewrite 1/3 to have the same base as 27?

• By multiplying it by 27

• By converting it to a decimal

• By using a positive exponent

• By using a negative exponent

What is the change of base formula used for?

• To convert logarithms to fractions

• To simplify fractions in logarithmic equations

• To change the base of a logarithm to a more convenient one

• To find the exact value of a logarithm

What happens to the logarithm when you apply the change of base formula?

• It is converted to an exponential equation

• It simplifies to a single number

• It becomes a fraction

• It is expressed as a ratio of two logarithms