document.write( "Question 558397: Solve and round to the nearest thousandth.
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document.write( "16^(n-7)+5=24 \n" );
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Algebra.Com's Answer #363040 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 16^(n-7)+5=24 \n" ); document.write( "subtract 5 from both sides of the equation to get: \n" ); document.write( "16^(n-7) = 19 \n" ); document.write( "take the log of both sides of the equation to get: \n" ); document.write( "log(16^(n-7) = log(19) \n" ); document.write( "this becomes: \n" ); document.write( "(n-7)*log(16) = log(19) \n" ); document.write( "divide both sides of this equation by log(16) to get: \n" ); document.write( "n-7 = log(19)/log(16) \n" ); document.write( "add 7 to both sides of this equation to get: \n" ); document.write( "n = (log(19)/log(16)) + 7 \n" ); document.write( "use your calculator to solve for n to get: \n" ); document.write( "n = 8.061981878 \n" ); document.write( "replace n in your original equation to confirm. \n" ); document.write( "original equation is: \n" ); document.write( "16^(n-7) + 5 = 24 \n" ); document.write( "replace n with 8.061981878 to get: \n" ); document.write( "16^(8.061981878 - 7) + 5 = 24 \n" ); document.write( "use your calculator to to get: \n" ); document.write( "24 = 24 \n" ); document.write( "this confirms the value of n is good. \n" ); document.write( " \n" ); document.write( " |