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Skill 15: Converting Between Exponential and Logarithmic Forms
Have SAT Practice Set 3 out on your desk.
Why use a logarithm?
• Sound scales (decibels)• Earthquake measurements
(Richter scale)• Musical scales• pH measurements
What is a logarithm?
• A logarithm is another way of describing the exponent in an equation.
2 is the logarithm for the base 6 that gives 36 as the answer.
If
Converting Equations Between Logarithmic and Exponential Forms
Example #2: Write in logarithmic form:
Converting Equations Between Logarithmic and Exponential Forms
Example #3: Write in exponential form: