Logarithmic Functions Algebra 2 Unit 2: Exponential and Logarithmic Functions.

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Presentation transcript:

Logarithmic Functions Algebra 2 Unit 2: Exponential and Logarithmic Functions

When do you use Logarithms? Decibels Richter Scale Carbon Dating pH levels Converting Exponents

Introducing Logarithms A logarithm answers the question: How many of one number do we multiply to get another number? EX: How many 2’s do we multiply to get 8? 2*2*2 = 8 so we needed to multiply 3 of the 2’s to get 8, thus the logarithm is 3.

Introducing Logarithms EX: How many 10’s do we multiply to get 10,000? How could we write that? Log 10 (10,000) = 4 10^4 = 10,000

Standard Form of a Logarithmic Function

Convert the following: 2^5 = 32 Log 4 (4096) = 6 Log 5 (625) = 4 3^4 = 81

Why is converting important? When you get “stuck” with an exponential problem you can relate it to a logarithmic problem and vice versa.

Properties of Logarithmic Functions

Important Logarithmic Functions pH = - log [H+]