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# Warm-Up: February 1, 2013 - PowerPoint PPT Presentation

Warm-Up: February 1, 2013. The population of India was 952,108,100 in 1996 and was growing at a rate of 1.3% per year. Write the expression that would predict the population in 2000. Write the expression that would predict the population in 2010. Homework Questions?. Logarithmic Functions.

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• The population of India was 952,108,100 in 1996 and was growing at a rate of 1.3% per year.

• Write the expression that would predict the population in 2000.

• Write the expression that would predict the population in 2010

### Logarithmic Functions

Section 6.3

Part 1

• How can we convert between logarithmic and exponential forms?

• The logarithm of a number to a certain base is the exponent to which the base must be raised to equal the number.

• Evaluate each of the following logarithms:

• A) log525

• B) log28

• C) log381

• Evaluate each of the following logarithms

• pH scale in chemistry

• Decibels – noise levels

• Richter scale – earthquake strength

• Apparent magnitude (brightness) of a star

• Musical intervals – semitones

Exponential form Logarithmic form

103 = 10003 = log101000

Exponent

Base

Move the base to the other side of the equation

• You can take the log (with same base) of both sides

• Or you can make both sides exponents with the same base.

• Logs and exponents of the same base “cancel”

• Convert to Logarithmic form

• Convert to Logarithmic form

• Convert to Exponential Form

• Convert to Exponential Form

• To evaluate a logbx, ask yourself, “b to what exponent gives me x?”

• Solve v=log100.001

• Solve v=log41

• Page 374 #12-35, 56-67

• Evaluate the following logarithms

### Logarithmic Functions

Section 6.3

Part 2

• How can we solve logarithmic equations?

• Evaluate the logarithm

• We did this last class

• Convert to exponential form

• Use a radical or fractional exponent to isolate b

• Remember b>0

• Convert to exponential form

• Evaluate the exponential

• Page 375 #68-85