Logarithms
The base of the natural log.
What is e?
This operation happens to the exponents when same base multiplication occurs.
What is addition?
The exponential form of the following logarithm:
Log_9(3) = 1/2
What is 9^1/2 = 3?
Log_2(32) = x
x = 5
The exponent on 2 that returns 4.
Log_2(4)=
What is 2?
This operation happens to the exponents when same base division occurs.
The Logarithmic form of the following expression:
2^3 = 8
What is Log_2(8) = 3?
Log_12(144) = x
x = 2
The exponent on 10 that returns 100.
Log 100
What is 2?
This results in multiplying exponents together.
What is a power of a power?
The exponential form of the following expression:
log_15(225) = 2
What is 15^2=225?
Log_5(125) = x
x = 3
The exponent on 3 that returns 27.
Log_3(27)=
What is 3?
The answer to the following problem:
(9^2)*(9^3x+4)
What is 9^3x+6
The Logarithmic form of the following expression:
e^11=x
What is ln(x) = 11?
Log_3(1/243) = x
x = -5
The exponent on 4 that returns 256.
Log_4(256)=
What is 4?
The answer to the following problem:
(9^4x)^2x
The exponential form of the following expression:
ln(4) = x
What is e^x = 4?
Log_b(1) = x
x = 0