Algebra question?

Question

What is a logarthism or something and what is a common log?

Answer 1

The logarithm is the area under the hyperbola y=1/x. For a real number t > 0, its log is the area under the curve 1/x from 1 to t. If t < 1 it is the negative of the area under the curve from t to 1. It is not defined in the real numbers for any real nonpositive number.

An interesting thing happens if the function is scaled by the value of 1/log(10). Here are some examples

log(1000)/log(10) = 3
log(100)/log(10)=2
log(10)/log(10)=1
log(1)/log(10)=0
log(.1)/log(10)=-1
log(.01)/log(10)=-2.

the function "counts the zeroes" of the number. This is also called the common logarithm. What also is interesting is that the function is continuous, so that it smoothly "counts the zeroes". A useful property is this:

log(xy) = log(x)+log(y)

thus, logarithms permit a form of "multiplying by adding".

Answer 2

A logarithm is the value that you have to raise a number to get another number!

Example: what power do you have to raise 10 to to get 100?
This is the logarithm, base 10, of 100, and is 2 because 10^2 = 100.

What is the logarithm, base 10, of 1000? Answer: 3
What is the logarithm, base 2, of 4? ANswer 2
What is the logarithm, base 3, of 27? Answer 3

Get it?

Now, one of the most-used, or "common" bases for logarithms, is 10. So the "common log" or "common logarithm" is the number (power) you have to raise 10 to to get another specified number.

Ex: what is the common log of 100? Answer: 2
What is the common log of 10? Answer: 1

Answer 3

The proper term is logarithm. It is the inverse function for an exponential function. For example, log base 2 of y = x is the inverse of y = 2^x . A common log, or common logarithm, is simply a logarithm with base 10.

Answer 4

A logarithm is a different form of the equation

x^y=z

you rewrite it

log(small x)(z) = y

the common log is 10
you would write it

log(small 10)(z)= y

but yes, look it up, I can't do it justice in 2 minutes

Answer 5

idk, look it up


negative