L₁ = 10logio, where L,is the magnitude of sound intensity (decibels), / is the current sound intensity, and is the reference sound intensity. Io corresponds with the faintest sound that can be heard by the human ear, lo= 10-16 watts per square centimeter. Due to the installation of a new speaker system in a high school gymnasium, the noise level (magnitude of the sound intensity) was increased from 45 to 48 decibels. Find the percent increase in the sound intensity as a result of the installation of this new speaker. O 10% O 99.5% 0.9% 6.7%

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CR: Review Problem Set
Problem 62CR
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I
L₁ = 10log107
where L, is the magnitude of sound intensity (decibels), /is the current sound intensity, and lo is the reference sound intensity. lo corresponds with
10 10
the faintest sound that can be heard by the human ear, lo = 10-16 watts per square centimeter. Due to the installation of a new speaker system in a high school
gymnasium, the noise level (magnitude of the sound intensity) was increased from 45 to 48 decibels. Find the percent increase in the sound intensity as a result
of the installation of this new speaker.
84°F
Partly sunny
10%
99.5%
0.9%
6.7%
NO
2
W
S
F3
3
E
F4
D
54
$
C
F5
R
F
Lin
%
5
F6
T
V
Search
F7
6
G
B
&
7
H
A
U
F9
*00
N
8
F10
K
M
09
F11
F12
P
PrtSc
A
Backspace
Ť
12:55 PM
6/8/2023
Transcribed Image Text:I L₁ = 10log107 where L, is the magnitude of sound intensity (decibels), /is the current sound intensity, and lo is the reference sound intensity. lo corresponds with 10 10 the faintest sound that can be heard by the human ear, lo = 10-16 watts per square centimeter. Due to the installation of a new speaker system in a high school gymnasium, the noise level (magnitude of the sound intensity) was increased from 45 to 48 decibels. Find the percent increase in the sound intensity as a result of the installation of this new speaker. 84°F Partly sunny 10% 99.5% 0.9% 6.7% NO 2 W S F3 3 E F4 D 54 $ C F5 R F Lin % 5 F6 T V Search F7 6 G B & 7 H A U F9 *00 N 8 F10 K M 09 F11 F12 P PrtSc A Backspace Ť 12:55 PM 6/8/2023
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