At what depth is there only 1% of surface sunlight


ANSWER
• 60 feet
,• The point is ,(60, 1)
EXPLANATION
As said, x is depth in feet, and f(x) represents the percentage of surface sunlight that reaches a depth of x feet. We have to find the value of x for which f(x) = 1,
[tex]1=16(0.955)^x[/tex]Divide both sides by 16,
[tex]\frac{1}{16}=0.955^x[/tex]Take logarithm to both sides to apply the rule of the logarithm of power on the right side,
[tex]\log (1/16)=x\log (0.955)[/tex]Divide both sides by log(0.955),
[tex]x=\frac{\log (\frac{1}{16})}{\log (0.955)}\approx60ft[/tex]In the graph this is,