Showing posts with label change of base formula. Show all posts
Showing posts with label change of base formula. Show all posts

Wednesday, May 2, 2012

Solving Exponential and Logarithmic Equations

Two basic strategies:
-one-to-one properties
if and only if  x=y

if and only if x=y

-inverse properties
= x

Strategies:
1- Rewrite the given equation in a form to use the one-to-one properties of exponential or logarithmic functions.
2- Rewrite an exponential equation in logarithmic form and apply the inverse property of logarithmic functions.
3- Rewrite a logarithmic equation in exponential form and apply the inverse property of exponential functions.

Example-

=5

=

=
2x=

x=
x= 0.112

Continuous Compounding-
Change of Base Formula-