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Equivalent Form
Name the Property
Finding x
Naturals
Commons
100
3^4 = 81
What is log _3 (81)=4
100
log mn = log m + log n
What is the Product Property
100
x=log_6 (36)
What is x=2
100
e^ln 2
What is 2
100
4 = log x
What is x=10,000
200
log_2 (64)= 6
What is 2^6 = 64
200
log (m/n) = log m - log n
What is the Quotient Property
200
3=log_4 (x)
What is x=64
200
e^(3 ln 2)
What is 8
200
10^log(32)
What is 32
300
2^8=256
What is log_2 (256) = 8
300
log m^p = p log m
What is the Power Property
300
4=log_x (81)
What is x = 3
300
ln e^4
What is 4
300
log x + log (x+3) = 1
What is x=2
400
log_5 (1/625) = -4
What is 5^-4 = 1/625
400
If b^x = b^y then x=y
What is the One to One Property of Exponents
400
log x = 8
What is x=100,000,000
400
3 ln e^2
What is 6
400
2^x = 34
What is x= (log 34)/(log 2)
500
(1/4)^-5 = 1024
What is log_(1/4) (1024) =-5
500
ln e^x = x
What is the Exponential-Logarithmic Inverse Property
500
ln(2x) = 4 ln 2
What is x=8
500
5 ln e^5
What is 25
500
18^x = 25
What is x= (log 25)/(log 18)