How did john of damascus defend the use of icons during the iconoclast controversy?

he argued that icons were a tool to teach biblical lessons, and that the faithful knew how to use them appropriately.
he argued that using icons represented the main difference between christianity and judaism.
he argued that eliminating the use of icons would damage the reputation of the church.
he argued that it was god's will for icons to be used in religious spaces and personal homes.

He argued that icons were a tool to teach biblical lessons, and that the faithful knew how to use them appropriately.

Explanation:

John Damascus was a monk that mostly defended sacred images. He was in the center of the Iconoclastic Controversy, some defended the end of the icon veneration based on passages of the Old Testament. John of Damascus defended that God approved the use of the images and that the faithful ones knew how to use them appropriately.

Hence, after 8 hours the amount of people in the concert hall will exceed the occupancy limit.

Step-by-step explanation:

Let represents the number of people in the hall at 't' hours after the doors are open.

Also it is given that  175 people enter as soon as the doors open in the morning.

i.e. at t=0

also number of people coming into the hall then increases at a rate of 30% per hour.

i.e. the number of people at t hours after opening of door is given by the recurrence relation as:

also:

Also it is given that:

The maximum occupancy of a concert hall is 1,200 people

i.e.

Hence we are asked to determine the number of hours after which the amount of people in the concert hall will exceed the occupancy limit i.e

1200" class="latex-formula" id="TexFormula6" src="https://tex.z-dn.net/?f=P_t%3E1200" title="P_t>1200">

Taking logarithmic function on both side we have:

\log (\dfrac{1200}{175})t>\dfrac{\log(\dfrac{1200}{175})}{\log 1.3}" class="latex-formula" id="TexFormula8" src="https://tex.z-dn.net/?f=t%20%5Clog1.3%3E%5Clog%20%28%5Cdfrac%7B1200%7D%7B175%7D%29%5C%5C%5C%5Ct%3E%5Cdfrac%7B%5Clog%28%5Cdfrac%7B1200%7D%7B175%7D%29%7D%7B%5Clog%201.3%7D" title="t \log1.3>\log (\dfrac{1200}{175})t>\dfrac{\log(\dfrac{1200}{175})}{\log 1.3}">

on solving we have:

Hence, after 8 hours the amount of people in the concert hall will exceed the occupancy limit

( since :

at t=7 which is approximately equal to 1098

while at t=8 which is approximately equal to 1428 )