Question

If log 8=.0. 9030; find value of:log (0. 125)

Answer 1

log 8 = 0.9030

log (0.125) = log(1/8) = log(8^-1) = - log 8 = -0.9030

Answer 2

Answer:

$\log(0.125)=-0.9030$

Step-by-step explanation:

Given : $\log 8=0.9030$

To find : The value of $\log(0.125)$ ?

Solution :

Write the expression as,

$\log(0.125)=\log (\frac{125}{1000})$

$\log(0.125)=\log (\frac{1}{8})$

$\log(0.125)=\log (8^{-1})$

Applying property, $\log a^x=x\log a$

$\log(0.125)=-\log (8)$

Substitute,  $\log 8=0.9030$

$\log(0.125)=-0.9030$

Therefore,  $\log(0.125)=-0.9030$