SOLUTION: if log0.5 = -0.3010, what is the mantissa of log0.5?

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Question 924190: if log0.5 = -0.3010, what is the mantissa of log0.5?
Found 3 solutions by ewatrrr, MathLover1, Edwin McCravy:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
log0.5 = -0.3010
log0.5 = -0.3010
1 -.301 = .699, the mantissa

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Characteristic and Mantissa:
Consider a number .
Then, let the value of consist of two parts: 0ne an integral part, the other – a proper fraction.
The integral part is called the and the fractional or the decimal part is called the .
For example, => the is and the is
we consider logarithms of numbers less than :all numbers are expressed to base ; so,
=> the is and the is

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
if log0.5 = -0.3010, what is the mantissa of log0.5?

Wow!  Who is still doing work with logarithm tables?

Here is how it was done in the old days:

We added the equation to the equation 0 = 10.0000 - 10 which 
amounted to adding to zero: 

        0 = 10.0000 - 10
   log0.5 = -0.3010 
   ---------------------
   log0.5 =  9.6990 - 10

So the mantissa is the decimal digits .6990.
The characteristic is -1, since 0.5 = 5×10-1 the
power of 10 in the scientific notation for the number.

--------------------------------------------------------- 

We did this sort of thing 50+ years ago before electronic calculators
were invented, back when there were no cell phones and the only
computers were huge and had no video screens.  We used logarithm tables
to multiply and divide in complicated calculations. I am shocked to 
see somebody still doing this today.  With modern calculators there 
is no need for this very ancient type of calculation. I would be 
interested to know who is still teaching this.  Is it a part of 
a mathematical history course?

Edwin
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