document.write( "Question 78562: Solve the equation for x
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document.write( "2^(x+4)=8 \n" );
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Algebra.Com's Answer #56376 by tutor_paul(519)![]() ![]() You can put this solution on YOUR website! \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( " |