document.write( "Question 78562: Solve the equation for x
\n" ); document.write( "2^(x+4)=8
\n" ); document.write( "

Algebra.Com's Answer #56376 by tutor_paul(519)\"\" \"About 
You can put this solution on YOUR website!
\"2%5E%28x%2B4%29=8\"
\n" ); document.write( "Take the log of both sides of the equation. You can see
\n" ); document.write( "that using log(base2) will be advantageous here:\r
\n" ); document.write( "\n" ); document.write( "log(base2)(2^(x+4))=log(base2)(8)\r
\n" ); document.write( "\n" ); document.write( "Use one of the algebraic property of logarithms to simplify left side:\r
\n" ); document.write( "\n" ); document.write( "(x+4)log(base2)(2)=log(base2)(8)\r
\n" ); document.write( "\n" ); document.write( "Taking the log(base2) of both of 2 and 8 allows further simplification:\r
\n" ); document.write( "\n" ); document.write( "(x+4)=3\r
\n" ); document.write( "\n" ); document.write( "Solve for x:\r
\n" ); document.write( "\n" ); document.write( "x=-1
\n" ); document.write( "
\n" );