Question

On a scale that measures the intensity of a certain phenomenon, a reading of $n+1$ corresponds to an intensity that is $10$ times the intensity corresponding to a reading of $n$. On that scale, the intensity corresponding to a reading of $8$ is how many times as great as the intensity corresponding to a reading of $3$ ?

• A. $5$
• B. $50$
• C. ${10}^5$
• D. $5^{10}$
• E. $8^{10}-3^{10}$

Answer 1

The correct option is C ${10}^5$

For every time a scale increases in $n+1$

it increases 10 time in $n$.

So starting from $3\to 4=10$

$4\to 5=10$

$5\to 6=10$ }5

$6\to 7=10$

$7\to 8=10$

$\therefore 3\to 8={10}^5$

$\therefore Ans\simeq {10}^5$