Math, asked by sathishkumar44, 1 year ago

find the value of log 0.001base10​

Answers

Answered by phani2306
48

log 0.001base 10 :

log 1/1000 base 10

log 10^-3 base 10

= -3

Answered by pinquancaro
44

The value is \log_{10}0.001=-3

Step-by-step explanation:

Given : Expression \log_{10}0.001

To find : The value of the expression ?

Solution :

Writing the expression as,

x=\log_{10}0.001

x=log_{10}(\frac{1}{1000})

x=log_{10}(\frac{1}{10^3})

x=log_{10} 10^{-3}

Applying logarithmic property, \log_ac=b\Rightarrow a^b=c

10^x=10^{-3}

x=-3

So, \log_{10}0.001=-3

Therefore, the value is \log_{10}0.001=-3

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