Given that,
An equation : 274.6 = 2.746 x 10n
To find,
The value of n.
Solution,
We have, 274.6 = 2.746 x 10n
Dividing both sides by 2.746 .
[tex]\dfrac{274.6 }{2.746 }=\dfrac{10n\times 2.746 }{2.746 }\\\\10n =100[/tex]
Now dividing both sides by 10.
n = 100/10
n = 10
So, the value of n is 10.