Hello there. To solve this question, we have to remember some properties about logarithms.
Given the logarithmic equation:
[tex]\log(x)=-5[/tex]We want to determine the value of x.
For this, remember the following rule:
[tex]\text{ For }a,\,b\in\mathbb{R}^+\text{ and }b\cancel{=}1,\text{ }\log_b(a)=c\Rightarrow a=b^c[/tex]Such that, in this case, the logarithm has base 10, therefore
[tex]x=10^{-5}[/tex]This power of 10 can be easily found :
[tex]x=0.00001[/tex]It has 5 digits after the decimal place, being the fifth digit a 1.
This is the answer contained in the option B.
