Logarithms Flashcards
What is the easier way to study solve log(10,0000000)
Just count the number of zeros, as base is 10, we have 8 zeros so the answer is 8
log(0) =
Doesnot Exist
What are the bases that logs cant have
0,1,negative values
log(0.0001) =
10^-4
When you take log to a fraction you would get
negative value as result
What is Natural log contain base as
e (2.718)
What is normal logs contain base as
10
** loga(b) =
Loga/logb
log(a) + log(b) =
log(a*b)
log(a)^n =
nloga
log(a-b)
log(a/b)
logx +logy - logz can be written as
log(xy/z)
Convert log to Exponetial
5 = log2(32)
2^5 = 32
5log^5y^2 =
here 5 cancels each other, so this is unique cancelling property of logs
What is e
The rate of growth for all continually growing processes
What is an exponent,argument
an exponent is nothing but the power value
argument is the result of the power
eg - 2^3 = 8
here 3 is the exponent
8 is the argument
2 is the base
What is the relation between log and exponent
log is a way to find exponent given the base and argument
How to change base of a log (formula)
logb (a) = 1 / loga (b)
What does a negative logarithm mean
A negative logarithm means how many times to divide by the number.
What does a logarithm mean
How many times you multiply by the number
Log 1 =
0
How do you convert log to Ln
Ln = 2.303 *log10
What is the relation between multiplication, Exponential and Logarithms
Exponential(powers) - what happens when you multiply a number by certain times
eg - what happens when you multiply 2 number by 3 times => 8
Logarithms - How many times do you need to multiply the number to get the given output
eg - How many times do you need to multiply 2 to get 8 => 3
What is a e called as
Eulers Constant / Napier constant
