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