(a)
\Equation for loudness is
where R is the relative intensity of the sound.
Find the relative intensity of a fireworks display.
\Loudness of a fireworks display is
decibels.

Change of base formula is
.

Property of logarithm :
.

Definition of logarithm :
if and only if
.
Relative intensity of a fireworks display is
.
(b) \ \
\Find the relative intensity of a concert.
\Loudness of a concert is
decibels.

Change of base formula is
.

Property of logarithm :
.

Definition of logarithm :
if and only if
.
Relative intensity of a concert is
.
How many times as intense is the fireworks display as the concert.
\Find ratio between fireworks display and concert.
.
Fireworks display is
times intense than concert.
(a) Relative intensity of a fireworks display is
.
(b) Relative intensity of a concert is
.
(c) Fireworks display is
times intense than concert.