7.1-4 Flashcards
1
Q
If b^x=b^y
A
x=y
2
Q
Steps to Solving Exponential Equations
A
- Use the properties of exponents to simplify each side of the equation
- Rewrite the equation so both sides have the same base
- Drop the bases and set the exponents equal to each other
3
Q
Logarithim
A
Another way of writing exponents
4
Q
logba=x
A
b^x=a
5
Q
Log to Exponential
A
Snail rule
6
Q
Exponential to Log
A
Reverse snail rule
7
Q
Common Logarithim
A
Logarithim with base 10
Can be written without the base
log10x=logx
8
Q
Change of Base Formula
A
logba=loga/logb
9
Q
Product Property
A
log(m*n)=logbm+logbn
10
Q
Quotient Property
A
log(m/n)=logbm-logbn
11
Q
Power Property
A
logbm^n=n*logbm
12
Q
Condensing Logarithims
A
Power
Product or quotient
13
Q
Expanding Logarithims
A
Quotient
Product
Power
14
Q
Don’t Forget When Expanding
A
To pull coefficients
15
Q
Steps to log=log
A
- Condense each logarithim
- Use the one to one property
- Solve and check for extraneous solutions
16
Q
One to One Property
A
If logbm=logbn, m=n
17
Q
Undefined Logarithmic
A
Zero or negative numbers
18
Q
Steps to log=#
A
- Condense and isolate the log
- Write the equation in exponential form
- Solve and check for extraneous solutions
19
Q
logbb=
A
1
20
Q
logb1=
A
0
