document.write( "Question 533554: Log base4 (x^2 - 3) + Lobg base4 10=1 \n" ); document.write( "

Algebra.Com's Answer #351086 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x?
\n" ); document.write( " $\"Log%5B4%5D%28x%5E2-3%29%2BLog%5B4%5D%2810%29+=+1\"$ Apply the product rule for logarithms: $\"Log%5Bb%5D%28x%29%2BLog%5Bb%5D%28y%29+=+Log%5Bb%5D%28x%2Ay%29\"$
\n" ); document.write( " $\"Log%5B4%5D%28%28x%5E2-3%29%2810%29%29+=+1\"$ Simplify.
\n" ); document.write( " $\"Log%5B4%5D%2810x%5E2-30%29+=+1\"$ Rewite in exponential form:
\n" ); document.write( " $\"4%5E1+=+10x%5E2-30\"$ Add 30 to both sides.
\n" ); document.write( " $\"34+=+10x%5E2\"$ Divide by 10.
\n" ); document.write( " $\"3.4+=+x%5E2\"$ Take the square root of both sides.
\n" ); document.write( " $\"sqrt%283.4%29+=+x\"$ So...
\n" ); document.write( " $\"x+=+sqrt%283.4%29\"$ or $\"x+=+-sqrt%283.4%29\"$ \n" ); document.write( "

\n" );