document.write( "Question 1152169: Write an equation in the form of y = b^(x+k)passing through points (-2,3), (-1,1) \n" ); document.write( "
Algebra.Com's Answer #774107 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+y+=+b%5E%28+x+%2B+k+%29+\"
\n" ); document.write( "(-2,3)
\n" ); document.write( "(-1,1)
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) \"+3+=+b%5E%28+-2+%2B+k+%29+\"
\n" ); document.write( "(2) \"+1+=+b%5E%28+-1+%2B+k+%29+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) \"+log%28+3+%29+=+%28+-2+%2B+k+%29%2Alog%28+b+%29+\"
\n" ); document.write( "(1) \"+log%28+b+%29+=+log%28+3+%29+%2F+%28+-2+%2B+k+%29+\"
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "(2) \"+log%281%29+=+%28+-1+%2B+k+%29%2Alog%28+b+%29+\"
\n" ); document.write( "(2) \"+0+=+%28+-1+%2B+1+%29%2Alog%28+b+%29+\"
\n" ); document.write( "\"+k+=+1+\"
\n" ); document.write( "-----------------
\n" ); document.write( "(1) \"+3+=+b%5E%28+-2+%2B+k+%29+\"
\n" ); document.write( "(1) \"+3+=+b%5E%28+-2+%2B+1+%29+\"
\n" ); document.write( "(1) \"+3+=+b%5E%28+-1+%29+\"
\n" ); document.write( "(1) \"+b+=+1%2F3+\"
\n" ); document.write( "----------------------
\n" ); document.write( "The equation is:
\n" ); document.write( "\"+y+=+b%5E%28+x+%2B+k+%29+\"
\n" ); document.write( "\"+y+=+%281%2F3%29%5E%28+x+%2B+1+%29+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "( -2,3 )
\n" ); document.write( "\"+3+=+%281%2F3%29%5E%28+-2+%2B+1+%29+\"
\n" ); document.write( "\"+3+=+%28+1%2F3+%29%5E%28-1%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "( -1,1 )
\n" ); document.write( "\"+1+=+%281%2F3%29%5E%28+-1+%2B+1+%29+\"
\n" ); document.write( "\"+1+=+%28+1%2F3+%29%5E0+\"
\n" ); document.write( "\"+1+=+1+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );