Logarithms Flashcards

1
Q

What is the easier way to study solve log(10,0000000)

A

Just count the number of zeros, as base is 10, we have 8 zeros so the answer is 8

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2
Q

log(0) =

A

Doesnot Exist

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3
Q

What are the bases that logs cant have

A

0,1,negative values

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4
Q

log(0.0001) =

A

10^-4

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5
Q

When you take log to a fraction you would get

A

negative value as result

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6
Q

What is Natural log contain base as

A

e (2.718)

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7
Q

What is normal logs contain base as

A

10

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8
Q

** loga(b) =

A

Loga/logb

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9
Q

log(a) + log(b) =

A

log(a*b)

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10
Q

log(a)^n =

A

nloga

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11
Q

log(a-b)

A

log(a/b)

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12
Q

logx +logy - logz can be written as

A

log(xy/z)

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13
Q

Convert log to Exponetial
5 = log2(32)

A

2^5 = 32

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14
Q

5log^5y^2 =

A

here 5 cancels each other, so this is unique cancelling property of logs

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15
Q

What is e

A

The rate of growth for all continually growing processes

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16
Q

What is an exponent,argument

A

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

17
Q

What is the relation between log and exponent

A

log is a way to find exponent given the base and argument

18
Q

How to change base of a log (formula)

A

logb (a) = 1 / loga (b)

19
Q

What does a negative logarithm mean

A

A negative logarithm means how many times to divide by the number.

20
Q

What does a logarithm mean

A

How many times you multiply by the number

21
Q

Log 1 =

A

0

22
Q

How do you convert log to Ln

A

Ln = 2.303 *log10

23
Q

What is the relation between multiplication, Exponential and Logarithms

A

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

24
Q

What is a e called as

A

Eulers Constant / Napier constant

25
Q
A