How to find the value of log (0.5)?

I know that its quite simple and i know how to use log.

But the problem is that i am getting two different answers while trying to solve it by two different methods.

1st Method:-

log (0.5)= log (1/2)= log1-log2= 0-log2= -0.3010

2nd Method:-

Normally solving the log.

Characteristic is -1 while the mantissa is 0.6991

so, log (0.5)= -1.6991

Why there are 2 answers..which one is correct and WHY??

Surely give 10 points to best answer and thats my promise..

4 Answers

Relevance
  • 9 years ago
    Favourite answer

    log0.5 = log1/2

    = log (2)^-1

    = - log2 = - 0.3010 answer-------------------------------------------------------------------------------------------------------------------

    NOW YOUR BOTH ANSWERS ARE correct & SAME-----------------------

    i.e. -0,3010 = -1.6991 [ -1 is called BAR one ]

    in -1.6991 there are two parts[ bar one (- 1) ]one is minus while 0.6991 is positive

    so -- 1 + 0.6991 = --03010

    Source(s): 41 years ago GRADUATE IN MATHEMATICS
  • Melli
    Lv 4
    5 years ago

    This Site Might Help You.

    RE:

    How to find the value of log (0.5)?

    I know that its quite simple and i know how to use log. But the problem is that i am getting two different answers while trying to solve it by two different methods. 1st Method:- log (0.5)= log (1/2)= log1-log2= 0-log2= -0.3010 2nd Method:- Normally solving the log. Characteristic is -1 while the...

    Source(s): find log 05: https://shorturl.im/KQjqD
  • 9 years ago

    1st method is correct.

    2nd method should be: -1+0.6991

  • Anonymous
    9 years ago

    LOG(0.5)

    = LOG(5 X 10^-1)

    = LOG(5) + LOG(10^-1)

    = LOG(5) + (-1)LOG(10)

    = LOG(5) + (-1)(1)

    = LOG(5) - 1

    = -0.301.

    Source(s): Engineer.
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