Question

The value of log100.1 is :
(a) 0
(b) -1
(c) -10
(d) -100

Answer 1

the value of log is 100.1
the ans is -1

Answer 2

Answer:

option (b) is correct

Step-by-step explanation:

Concept:

1.Quotient rule of logarithm:

$log_a(\frac{M}{N})=log_{a}M-log_{a}N$

$2.log_{a}a=1$

$3.log_{a}1=0$

Now,

$log_{10}0.1 \\\\=log_{10}(\frac{1}{10}) \\\\=log_{10}1-log_{10}10 \\\\= 0 - 1 \\\\= -1$