Hi please help me asap

Question

1.)

A.) 4.5

B.) 1.5

C.) 3.5

D.) 2.5

Answer 1

L = 10 log (I/c)

L = 10 (log I - log c)

L = 10 log I - 10 log c

L + 10 log c = 10 log I

(1/10) (L + 10 log c) = log I

I = 10^ ( (1/10)(L + 10 log c))

L=97 --> I = 10^( (1/10)(97 + 10 loc c))

= 10^ ( 9.7 + log c)

L = 93 --> I = 10^( (1/10)(93 + 10 log c))

= 10^ (9.3 + log c)

dividing them...

10^ ( (9.7 + 10 logc) - (9.3 + 10 log c))

= 10^ ( 0.4)

which is approximately 2.5118864315095801110850320677993

which is the closest to option D