The intensity I of light​ (measured in​ foot-candles) varies inversely with the square of the distance from the source. Suppose that the intensity of a light from the source at a distance of 2 meters is 0.055 ​foot-candle. Determine the intensity of a light from the source at a distance of 10 meters.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

c.)

step-by-step explanation: