Log Functions
Properties of Logs
Evaluate
Solve
More Solving
100
The exponential form of this is what?
100
This is the definition of one of the properties of logarithms
Product Property of Logarithms
100
log27 9
1/3
100
2^x=16
4
100
log_3 (log_4 (x+48)=1
16
200
Rewrite in exponential form:
logx 4 = 8
x^8 = 4
200
Write this as a single logarithm:
200
log (1/100)
-2
200
log_2 x=0
1
200
2^(7+3x)=1/4
-3
300
Rewrite in logarithmic form:
3.5^x = 12
log3.5 12 = x
300
Write this as a single logarithm
300
log3x 3x
1
300
(1/16)^x=2^(2-x)
x=-2/3
300
log_7 (8x+2)=log_7 (8x-2)
no solution
400
What is logb 1 = ?
zero
400
Completely expand this logarithm:
400
This has an exact value:
What is 1/3
400
log5(2x-7)=log5(3x-9)
no solution
400
log(3x-2)-log(2)=log(x+4)
x=10
500
What is the base of the logarithm and what is it called?
log 5 = 2
Base is 10 and it is called the common log
500
What is
zero
500
ln e^(9-2x)
9-2x
500
log_9 x^2=5
243
500
(e^x)^x/e^4=e^32
x=6