document.write( "Question 558397: Solve and round to the nearest thousandth.
\n" ); document.write( "16^(n-7)+5=24
\n" ); document.write( "

Algebra.Com's Answer #363040 by Theo(13342)\"\" \"About 
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( "
\n" );