document.write( "Question 799861: solve using natural logs\r
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document.write( "2^(x/2) = 5\r
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document.write( "I think it would be 2ln(5)/ln(2). Is that correct? If not how do you solve it? \n" );
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Algebra.Com's Answer #482856 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! You are correct. \n" ); document.write( "Given: \n" ); document.write( "(1) 2^(x/2)= 5 \n" ); document.write( "Take the ln of each side to get \n" ); document.write( "(2) (x/2)ln(2) = ln(5) or \n" ); document.write( "(3) xln(2) = 2ln(5) or \n" ); document.write( "(4) x = 2ln(5)/ln(2) \n" ); document.write( "Since \n" ); document.write( "(5) 2ln(5) = ln(5)^2 or \n" ); document.write( "(6) 2ln(5) = ln(25) \n" ); document.write( "We may also write (4) as \n" ); document.write( "(7) x = ln(25)/ln(2) \n" ); document.write( " |