document.write( "Question 970283: The exposure volume EV of a photograph can be calculated from the time, t, in seconds that the shutter was open and the value of the f-stop,f, the picture was taken at using by using the logarithmic equation:\r
\n" ); document.write( "\n" ); document.write( "EV=logbase2(f^2/t)\r
\n" ); document.write( "\n" ); document.write( "use the properties of logarithms to expand the formula for EV:
\n" ); document.write( "For this part I did: 2 Logbase2 f - logbase2 t\r
\n" ); document.write( "\n" ); document.write( "b. Keith takes a picture of a waterfall with a shutter speed of 1/60 second at f/5.657. he likes the exposure of his picture, but want to leave the shutter open four times as long to better capture the motion of the water. What f-stop should he use on his next picture.\r
\n" ); document.write( "\n" ); document.write( "This is where I am having some trouble. I started by doing 4(1/60)=1/15 and that is my t. I know I am solving for f, but is 5.657 my EV?
\n" ); document.write( "

Algebra.Com's Answer #592938 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The exposure volume EV of a photograph can be calculated from the time, t, in seconds that the shutter was open and the value of the f-stop,f, the picture was taken at using by using the logarithmic equation:
\n" ); document.write( "EV=logbase2(f^2/t)
\n" ); document.write( "use the properties of logarithms to expand the formula for EV:
\n" ); document.write( "The correct equation is 2*log2(f)-log2(t)
\n" ); document.write( "---------------------------------------
\n" ); document.write( "b. Keith takes a picture of a waterfall with a shutter speed of 1/60 second at f/5.657. he likes the exposure of his picture, but want to leave the shutter open four times as long to better capture the motion of the water. What f-stop should he use on his next picture.
\n" ); document.write( "This is where I am having some trouble. I started by doing 4(1/60)=1/15 and that is my t. I know I am solving for f, but is 5.657 my EV?
\n" ); document.write( "No, your EV is what it was on the original photo.
\n" ); document.write( "-------
\n" ); document.write( "Find the EV on the original picture::
\n" ); document.write( "EV = 2log2(5.657) - log2(1/60) = 5 - (-5.91) = 10.91
\n" ); document.write( "-------
\n" ); document.write( "Solve for \"f\"::
\n" ); document.write( "10.91 = 2*log(f) - log2(1/15)
\n" ); document.write( "10.91 = 2*log(f) - 3.91
\n" ); document.write( "log2(f) = (1/2)14.82
\n" ); document.write( "log2(f) = 7.41
\n" ); document.write( "f = 2^7.41 = 170.07
\n" ); document.write( "----------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "---------------
\n" ); document.write( "
\n" );