document.write( "Question 1082597: Pleas help me solve and understand the this problem: A biologist is studying a fish. she uses the fishes length in cm L to estimate the fishes age in years T according to the formula T=19-5ln(53-L)\r
\n" ); document.write( "\n" ); document.write( "a) estimate the age of a 35 cm fish \r
\n" ); document.write( "\n" ); document.write( "b) according to the formula what length should a 10yr old fish be.\r
\n" ); document.write( "\n" ); document.write( "pleas include steps when solving the problem.
\n" ); document.write( "

Algebra.Com's Answer #696657 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
T = 19 - 5ln(53-L)
\n" ); document.write( ":
\n" ); document.write( "a) T = 19 - 5ln(53-35)
\n" ); document.write( ":
\n" ); document.write( "T = 19 - 5ln(18)
\n" ); document.write( ":
\n" ); document.write( "T = 19 - 5 * 2.8904 = 4.548
\n" ); document.write( ":
\n" ); document.write( "*****************************************
\n" ); document.write( "35 cm fish is approximately 4.5 years old
\n" ); document.write( "*****************************************
\n" ); document.write( ":
\n" ); document.write( "b) 10 = 19 - 5ln(53-L)
\n" ); document.write( ":
\n" ); document.write( "5ln(53-L) = 19 - 10 = 9
\n" ); document.write( ":
\n" ); document.write( "ln(53-L) = 9/5 = 1.8
\n" ); document.write( ":
\n" ); document.write( "53-L = inverse log(base e) of 1.8 = 6.0496
\n" ); document.write( ":
\n" ); document.write( "L = 53 - 6.0496 = 46.9504 approximately 47
\n" ); document.write( ":
\n" ); document.write( "*****************************************
\n" ); document.write( "A 10 year old fish should be 47 cm long
\n" ); document.write( "*****************************************
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( "
\n" );