6.5 Applications of Common Logarithms
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6.5 Applications of Common LogarithmsObjectives: Define and use the common logarithmic function to solve exponential and logarithmic equations.Evaluate logarithmic expressions by using the change-of-base formula.
Standard: 2.8.11.N. Solve exponential equations.1Warm Up:
x10100100010,000100,000y = log x
The base 10 logarithm is called the common logarithm.In general, logarithmic functions are used to assign large values in the domain to small values in the range.123453
Recall from lesson 2.7 that the graph of y = a*f(x) is the graph of y = f(x) stretched by a factor of a. Therefore the graph of y = 10 log x is the graph of y = log x stretched by a factor of 10.
The running vacuum cleaner is about
times as loud as the threshold of hearing.
You can use the change-of-base formula to change a logarithmic expression of any base to base 10 so that you can use the LOG key on your calculator.
p. 389 #10-16 even
p. 390: #28-34 Even
Practice 6.5Chapter 6 Test FRIDAY!