Solving Exponential & Logarithmic Equations
Properties of Exponential and Logarithmic Equations
Let be a positive real number such that 1, and let and be real numbers. Then the following properties are
true:
1.
if and only if
2.
log log if and only if 0

Name Date
IIEllIEw tor Illlll on Exponentials & logarithms
1. Mike invests $8,000 in an account that earns 4.65% semi-annually. How much will he have in
f
f" ten years?
I
/ 2. Jane also invests $8,000 but she found a bank that pays 4.6% compounded qu

Name
.
in" / 1. Mike invests $8,000 in an account that earns 4.65% semi—annually. How much will he have in
/ ten years?
/ 2. Jane also invests $8,000 but she found a bank that pays 46% compounded quarterly. How
5 much will Jane have in ten year

{MAE - - Period - - Date
Sd‘lVing Logarithmic Equa’rions
(They're noT as scary as They look!) _7
NOTES: 'r: I
Solve the following equations. SHOW ALL WORK!
1. Iog(2x + 5) a [og(5x — 4)
&%J%"% “is: 7‘” ME
. I. — 1 1 “I Ag," M“;
2. '095()( I - —2 I