Math, asked by rajesh6045p, 11 months ago

define the value of log 0.01 base 10

Answers

Answered by Anonymous
123
HEY BUDDY...!!!

HERE'S THE ANSWER..

____________________

=> log 10 ( 0.01 )

=> log 10 ( 1 / 100 )

=> log 10 ( 10^-2 )

=> - 2

HOPE HELPED..

GOOD NIGHT..

:-)

=>
Answered by Anonymous
2

Given : The given logarithmic term is, log 0.01 base 10

To find : The value of the given logarithmic term.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the given logarithmic term)

Here, we will be using general logarithmic formula.

So,

 =  log_{10}(0.01)

 =  log_{10}( \frac{1}{100} )

 =  log_{10}( \frac{1}{ {10}^{2} } )

 =  log_{10}( {10}^{ - 2} )

 =  - 2 \times  log_{10}(10)

 =  - 2 \times 1

 =  - 2

(This will be considered as the final result of the given mathematical problem.)

Used formula :

  •  log_{a}( {b}^{n} )  =   n \times log_{a}(b)
  •  log_{a}(a)  = 1

Hence, the value of log 0.01 base 10 is -2

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