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
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document.write( "EV=logbase2(f^2/t)\r
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document.write( "use the properties of logarithms to expand the formula for EV:
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document.write( "For this part I did: 2 Logbase2 f - logbase2 t\r
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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
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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" );
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Algebra.Com's Answer #592938 by stanbon(75887)![]() ![]() ![]() 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( " |