Question

If log 2 = 0.30103
Find log (0.125)
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Answer 1

Answer:

Answer is 0.903

Step-by-step explanation:

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log 0.125 =log 125/1000

               = log 1/8

               =log 1- log 8

               = 0- 3 log 2

               = 0- 3*0.3010

               =-0.903

Answer 2

The value of $log(0.125)$ is $(-0.90309)$.

Step-by-step explanation:

Given, $log(2)=0.30103$

• Tip: We have to express $log(0.125)$ in such a way so that we will be able to use the value of $log2$.

Now, $log(0.125)$

$=log(\dfrac{1}{8})$

$=log(1)-log(8)$ [since $log(\dfrac{a}{b})=log(a)-log(b)$]

$=0-log(8)$ [since $log(1)=0$]

$=-log(8)$

$=-log(2^{3})$

$=-3log(2)$ [since $log(a^{b})=blog(a)$]

$=-3(0.30103)$ [since $log(2)=0.30103$]

$=\bold{-0.90309}$