document.write( "Question 592064: What is the solution(s) to log base 4 of 4x + log base 4 of (x+3) = 2 \n" ); document.write( "
Algebra.Com's Answer #375836 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
What is the solution(s) to log base 4 of 4x + log base 4 of (x+3) = 2
\n" ); document.write( "log4[(4x)(x+3)]=2
\n" ); document.write( "convert to exponential form: base(4) raised to log of number(2)=number(4x)(x+3)
\n" ); document.write( "4^2=(4x)(x+3)=16
\n" ); document.write( "4x^2+12x=16
\n" ); document.write( "4x^2+12x-16=0
\n" ); document.write( "x^2+3x-4=0
\n" ); document.write( "(x+4)(x-1)-0
\n" ); document.write( "x=-4 (reject,x>0)
\n" ); document.write( "or x=1
\n" ); document.write( "
\n" );