Algebra 2 & Trigonometry
Friday, 4.17
Please work on the following while I check your homework.
Solve for x: log5 0.2 = logx 10
Questions from the
homework?
Lesson 5.14 Properties of Logarithms
Because a log is an Exponent
_____________ , those rules apply to logs.
Just as rules of exponents apply to powers with the same base,
log rules apply to logs with the same base.
Exponent Rule
x0 = 1
Log Rule
logx 1 = 0
(xa)(xb) = xa + b
logx ab = logx a + logx b
xa
= xa - b
b
x
(xa)b = xab
logx ab = b(logx a)
Examples:
1) If
2) Since
3) Find
and
and
, find
, find
using log properties
using log properties
using both the power and the product rule
4) Find
5) If
and
, express
in terms of x and y