Question

If $\log 6=0.778$ and $(100{)}^x=6$, then find the value of $x$.

• A. 0.778
• B. 0.389
• C. 0.0389
• D. 10

Answer 1

Answer: (B)

$(100{)}^x=6$
$\Rightarrow (10{)}^{2x}=6$
Taking log on both sides,
$\Rightarrow 2x(\log 10)=\log 6$
$\Rightarrow 2x=0.778\text{ (given: }\log 6=0.778\text{ ) }$
$\therefore x=0.389$