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Exponential Form
Solving Logs
Laws of Logs
Convert to a Logarithm
Misc.
100
Write log
4
64=3 in exponential form
What is 4
3
=64
100
log
7
x=3
What is 343
100
log
b
MN=?
What is log
b
M + log
b
N
100
Convert to a logarithm: 2
4
=16
What is log
2
16=4
100
What is the inverse of f(x)=9
x
What is f
-1
(x)= log
9
x
200
Write log
5
1=0 in exponential form
What is 5
0
=1
200
ln e
8
What is 8
200
Expand: log
3
M/N
2
What is log
3
M - 2log
3
N
200
Convert to a logarithm: 8
2
=64
What is log
8
64=2
200
Compare the graph of f(x)=log x to the graph of f(x)=log(x-5)
What is the graph shifts to the right 5
300
Write log1,000,000=6 in exponential form
What is 10
6
=1,000,000
300
log
3
x + log
3
(x-2)=1
What is 3
300
Express y in terms of x: log y= 3 log x + 2 log x
What is y=x
5
300
Convert to a logarithm: e
x
=e
8
What is ln e
8
=x
300
What is a common logarithm?
What is the exponent you get when you write x as a power of 10
400
What is the basic format for writing a logarithm in exponential form?
What is b
a
=x
400
log
2
(x
2
-2)=1
What is 2 or -2
400
Write as a single log: 1/2 log 16 + 2/3 log 8
What is log 16
400
Convert to a logarithm: 10
4
=10,000
What is log10,000=4
400
Jet at takeoff- I:10
12
Io Calculate the decibel level
What is 120dB
500
Write log100,000,000=x in exponential form and then solve for x.
What is 10
x
=100,000,000 x=8
500
ln (x
2
-8)=2
What is + or - the square root of e
2
+8
500
Write as a single log: 2 log 6 + 1/2 log 9 - 1/4 log 16 - 1/3 log 27
What is log 18
500
Convert to a logarithm and then solve for x: 2
x
=1024
What is log
2
1024=x x=10
500
10
4 log 3
=?
What is 81