document.write( "Question 440172: After an oven is turned on, its temperature T, is represented by the equation
\n" ); document.write( "T = 420 - 350 (3.2)^-.1m , where m represents the number of minutes after the oven is turned on and T represents the temperature of the oven in degrees Fahrenheit. How many minutes does the oven take to reach a temperature of 320F? Round your answer to the nearest minute. \n" ); document.write( "

Algebra.Com's Answer #304144 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "T = 420 - 350 (3.2)^-.1m  |where m represents the number of minutes after the oven is turned on 
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document.write( "and T represents the temperature of the oven in degrees Fahrenheit.
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document.write( "T = 420 - 350 (3.2)^-.1m 
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document.write( " (T-420)/-350 = 3.2^.1m
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document.write( " log[(T-420)/-350]/log(3.2) = -.1m
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document.write( " T = 320
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document.write( " log[(-100)/-350]/log(3.2) = -.1m\r
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document.write( " log .2857/log(3.2) = -.544/.5 = -.1m
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document.write( "                   -1.08 = -.1m
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document.write( "                    m = 10.8 min, time it takes to reach a temperature of 320F\r
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