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On the $\small{Richter\; Scale}$ , the magnitude $\small{M}$ of an earthquake is related to the released energy $\small{E}$ in joules (J) by the equation

$\small{\log E = 4.4 + 1.5M}$

(a) Find the energy $\small{E}$ of an earthquake that registers $\small{M = 3.4}$ on the Richter scale. Express your answer in the form,

$\small{A \times 10^B}$ ,

where $\small{A \;\mbox{and}\; B}$ are each rounded to the nearest integer.

$\small{A}$	=
$\small{B}$	=

(b) If the released energy of one earthquake is 1000 times that of another, what is the difference between their magnitudes?

Difference =

You can earn partial credit on this problem.