Question

The value of the logarithm ${\log }_{10}(0.06{)}^6$ is equal to

• A. $-7.331$
• B. $7.331$
• C. $-1.222$
• D. $1.222$

Answer 1

Answer: (A)

$-7.331$

${\log }_{10}{\left(0.06\right)}^6=6{\log }_{10}0.06=6({\log }_{10}6-{\log }_{10}100)=6({\log }_{10}2+{\log }_{10}3-2{\log }_{10}10)=-7.331[\because {\log }_{a}a=1]$