algebra ii - chapter 10 10.1/10.2 logarithms and functions
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Algebra II - Chapter 10
10.1/10.2 Logarithms and Functions
In general, the inverse of y= bx is x = by,
y is called the logarithm of x.
• It is usually written as y = logbx and is read
y equals log base b of x
Solving Exponential Equations:
• If b x = b y then x = y
• For example: 162 22 n
Another Example:• 32n+1 = 81 *are they the same base?
*how can you make them the same base?
Logarithmic to Exponential Form:
Write each equation in exponential form:
Log 3 81 = 4
You Try:
Log5125 = 3
Exponential to Logarithmic Form:
Write each equation in logarithmic form:
54 = 625
You Try:
83 = 512
Evaluate Logarithmic Expressions:
Evaluate each expression:
log 4 256
You Try:
Log 2 16
Tonight’s Homework:
Page 528 (45-47)(52,53,56)Page 536 (21-43 odd)
Quiz Next Class – Composite Functions
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