Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
```
Plese tell me the all the lograthmic properties

```
11 years ago

```							Logs to the base 10 are often call common logs, whereas logs to the base e are often call natural logs. Logs to the bases of 10 and e  are now both fairly standard on most calculators. Often when taking a log, the base is arbitrary and does not need to be specified.  However, at other times it is necessary and must be assumed or specified.
The Four Basic Properties of Logs

logb(xy) = logbx + logby.
logb(x/y) = logbx - logby.
logb(xn) = n logbx.
logbx = logax / logab.

These four basic properties all follow directly from the fact that logs are exponents. In words, the first three can be remembered as: The log of a product is equal to the sum of the logs of the factors. The log of a quotient is equal to the difference between the logs of the numerator and demoninator. The log of a power is equal to the power times the log of the base.
Additional properties, some obvious, some not so obvious are listed  below for reference. Number 6 is called the reciprocal property.

logb1 = 0.
logbb = 1.
logbb2 = 2.
logbbx = x.
blogbx = x.
logab = 1/logba.

```
11 years ago
```							FOUR BASIC PROPERTIES OF LOGS
logb(xy)   =   logbx + logby.
logb(x/y)  =   logbx - logby.
logb(xn)   =   n logbx.
logbx      =   logax / logab.
These four basic properties all follow directly from the fact that logs are exponents. In words, the first three can be remembered as: The log of a product is equal to the sum of the logs of the factors. The log of a quotient is equal to the difference between the logs of the numerator and demoninator. The log of a power is equal to the power times the log of the base.
Additional properties, some obvious, some not so obvious are listed  below for reference. Number 6 is called the reciprocal property.
logb1    =   0.
logbb    =  1.
logbb2  =  2.
logbbx  =  x.
blogbx   =  x.
logab   =  1/logba.

```
11 years ago
```							yo man check this out
log is an inverse function of exponential function
suppose y=ax be an exponential function then loga(y) is the log function
its properties are:-
1>logc(ab)=logc(a)+logc(b)
2>logc(a/b)=logc(a)-logc(b)
3>logc(ab)=(b)logc(a)
4>logc^b(a)=(1/b)logc(a)
5>on mixing above two => loga^b(cd)=(d/b)loga(c)
6>loga(y)=logm(y)/logm(a)
7>loga(y)=logxy*logax
8>loga(y)=1/logy(a)
9>x^loga(y)=y^loga(x)
10>loga(x1)>loga(x2) <=> x1<x2 [if 0<a<1]
<=> x1>x2[if a>1]
11>loga(y)>x <=> y<ax [if 0<a<1]
<=> x1>x2[if a>1]

```
9 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Discuss with Askiitians Tutors

View all Questions »  ### Course Features

• 728 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  ### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions