Formulas
Exponential
/Log Form
Condensing
Expanding
Common Logs
100
log M^k = k log M
What is the formula for expanding a power or Power Property?
100
log base b of y = x
What is the logarithmic form of b^x = y?
100
log 5 + log 10
What is log 50?
100
log 7xy
What is log 7 + log x + log y?
100
log 187
What is 2.2718
200
log M/N = log M - log N
What is the formula for expanding a log quotient or Quotient property?
200
log base 5 of 1/25 = -2
What is the log form of 5^-2 = 1/25?
200
2 log 8 + 3 log 2
What is log 512?
200
log 15 x^3 y^2
What is log 15 + 3 log x + 2 log y?
200
log 1,275
What is 3.1055?
300
log M + log N = log MN
What is the formula for condensing a sum of two logs or Product Property?
300
log base 3 of 81 = 4
What is the logarithmic form of 3^4 = 81?
300
log 4 + 5log x - 3log y - 7log z
What is log 4x^5/(y^3 z^7)?
300
log 5 x^7 / 6 y^9
What is log 5 + 7log x - log 6 - 9log y?
300
log base 7 of 54
What is 2.0499?
400
log M - log N = log M/N
What is the formula for condensing a difference of two logs or the Quotient Property?
400
log 1000 = 3
What is log form of 10^3 = 1000?
400
log 8 - log 2 + 3log y - 4log x
What is log 4 y^3 / x^4?
400
log 9
What is is 2 log 3?
400
log base 14 of 9
What is 0.8325?
500
log base b of x = log x / log b
What is the Change of Base Formula?
500
(1/3)^-2 = 9
What is the exponential form of log base 1/3 of 9 = -2?
500
3log 6 + 2log 10 - (3log 8 - 5log 2)
What is log 1350?
500
log 625
What is 4log 5?
500
log base 3/2 of 1/2
What is -1.7095?
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